Advanced School and Workshop on Random Matrices and Growth Models | (smr 2481)
Go to day
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08:00 - 09:30
Registration / Administrative Formalities
Location: Leonardo da Vinci Building, Lobby - 08:00 Registration / Administrative Formalities 1h30'
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09:30 - 09:35
Opening Remarks
Location: Leonardo da Vinci Building Main Lecture Hall -
09:30
Opening Remarks
5'
Speaker: Professor Ramadas Ramakrishnan (ICTP)
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09:30
Opening Remarks
5'
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09:35 - 11:00
Three examples of integrable models in statistical physics: 2D Ising model, distribution of largest eigenvalue in random matrix models and the asymmetric simple exclusion process, Part I
Location: Leonardo da Vinci Building Main Lecture Hall -
09:35
Three examples of integrable models in statistical physics: 2D Ising model, distribution of largest eigenvalue in random matrix models and the asymmetric simple exclusion process, Part I
1h25'
Speaker: Craig Tracy (University of California at Davis, USA)
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09:35
Three examples of integrable models in statistical physics: 2D Ising model, distribution of largest eigenvalue in random matrix models and the asymmetric simple exclusion process, Part I
1h25'
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11:00 - 11:30
Coffee Break
Location: Leonardo da Vinci Building, Lobby - 11:00 Coffee Break 30'
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11:30 - 13:00
Universality for random matrices and log-gases, Part I
Location: Leonardo da Vinci Building Main Lecture Hall -
11:30
Universality for random matrices and log-gases, Part I
1h30'
Speaker: Laszlo Erdos (IST Austria and University of Munich, Germany)
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11:30
Universality for random matrices and log-gases, Part I
1h30'
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13:00 - 14:30
Lunch Break
Location: Leonardo da Vinci Building Main Lecture Hall - 13:00 Lunch Break 1h30'
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14:30 - 16:00
Zeros of random polynomials and analytic functions, Part I
Location: Leonardo da Vinci Building Main Lecture Hall -
14:30
Zeros of random polynomials and analytic functions, Part I
1h30'
Speaker: Krishnapur Manjunath (Indian Institute of Science (IIT), India)
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14:30
Zeros of random polynomials and analytic functions, Part I
1h30'
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16:00 - 16:30
Break
Location: - 16:00 Break 30'
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16:30 - 18:00
Why random matrices share universal processes with interacting particle systems? Part I
Location: Leonardo da Vinci Building Main Lecture Hall -
16:30
Why random matrices share universal processes with interacting particle systems? Part I
1h30'
Speaker: Patrik Ferrari (Universitaet Bonn, Germany) Material: LinktoLectureonRandomMatrixTheory
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16:30
Why random matrices share universal processes with interacting particle systems? Part I
1h30'
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08:00 - 09:30
Registration / Administrative Formalities
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09:30 - 11:00
Zeros of random polynomials and analytic functions, Part II
Location: Leonardo da Vinci Building Main Lecture Hall -
09:30
Zeros of random polynomials and analytic functions, Part II
1h30'
Speaker: Krishnapur Manjunath (Indian Institute of Science (IIT), India)
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09:30
Zeros of random polynomials and analytic functions, Part II
1h30'
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11:00 - 11:30
Coffee Break
Location: Leonardo da Vinci Building, Lobby - 11:00 Coffee Break 30'
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11:30 - 13:00
Why random matrices share universal processes with interacting particle systems? Part II
Location: Leonardo da Vinci Building Main Lecture Hall -
11:30
Why random matrices share universal processes with interacting particle systems? Part II
1h30'
Speaker: Patrik Ferrari (Universitaet Bonn, Germany)
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11:30
Why random matrices share universal processes with interacting particle systems? Part II
1h30'
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13:00 - 14:30
Lunch Break
Location: - 13:00 Lunch Break 1h30'
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14:30 - 16:00
Three examples of integrable models in statistical physics: 2D Ising model, distribution of largest eigenvalue in random matrix models and the asymmetric simple exclusion process, Part II
Location: Leonardo da Vinci Building Main Lecture Hall -
14:30
Three examples of integrable models in statistical physics: 2D Ising model, distribution of largest eigenvalue in random matrix models and the asymmetric simple exclusion process, Part II
1h30'
Speaker: Craig Tracy (University of California at Davis, USA)
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14:30
Three examples of integrable models in statistical physics: 2D Ising model, distribution of largest eigenvalue in random matrix models and the asymmetric simple exclusion process, Part II
1h30'
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16:00 - 16:30
Break
Location: - 16:00 Break 30'
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16:30 - 18:00
Universality for random matrices and log-gases, Part II
Location: Leonardo da Vinci Building Main Lecture Hall -
16:30
Universality for random matrices and log-gases, Part II
1h30'
Speaker: Laszlo Erdos (IST Austria and University of Munich, Germany)
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16:30
Universality for random matrices and log-gases, Part II
1h30'
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09:30 - 11:00
Zeros of random polynomials and analytic functions, Part II
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09:30 - 11:00
Universality for random matrices and log-gases, Part III
Location: Leonardo da Vinci Building Main Lecture Hall -
09:30
Universality for random matrices and log-gases, Part III
1h30'
Speaker: Laszlo Erdos (IST Austria and University of Munich, Germany)
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09:30
Universality for random matrices and log-gases, Part III
1h30'
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11:00 - 11:30
Coffee Break
Location: Leonardo da Vinci Building, Lobby - 11:00 Coffee Break 30'
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11:30 - 13:00
Random matrices and the six-vertex model, Part I
Location: Leonardo da Vinci Building Main Lecture Hall -
11:30
Random matrices and the six-vertex model, Part I
1h30'
Speaker: Pavel Bleher (Indiana University - Purdue University Indianapolis (IUPUI), USA)
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11:30
Random matrices and the six-vertex model, Part I
1h30'
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13:00 - 14:30
Lunch Break
Location: - 13:00 Lunch Break 1h30'
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14:30 - 16:00
Three examples of integrable models in statistical physics: 2D Ising model, distribution of largest eigenvalue in random matrix models and the asymmetric simple exclusion process, Part III
Location: Leonardo da Vinci Building Main Lecture Hall -
14:30
Three examples of integrable models in statistical physics: 2D Ising model, distribution of largest eigenvalue in random matrix models and the asymmetric simple exclusion process, Part III
1h30'
Speaker: Craig Tracy (University of California at Davis, USA)
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14:30
Three examples of integrable models in statistical physics: 2D Ising model, distribution of largest eigenvalue in random matrix models and the asymmetric simple exclusion process, Part III
1h30'
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16:00 - 16:30
Break
Location: - 16:00 Break 30'
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16:30 - 18:00
The Riemann Hilbert method, Part I
Location: Leonardo da Vinci Building Main Lecture Hall -
16:30
The Riemann Hilbert method, Part I
1h30'
Speaker: Alexander Its (Indiana University - Purdue University Indianapolis (IUPUI), USA)
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16:30
The Riemann Hilbert method, Part I
1h30'
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09:30 - 11:00
Universality for random matrices and log-gases, Part III
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09:30 - 11:00
Why random matrices share universal processes with interacting particle systems? Part III
Location: Leonardo da Vinci Building Main Lecture Hall -
09:30
Why random matrices share universal processes with interacting particle systems? Part III
1h30'
Speaker: Patrik Ferrari (Universitaet Bonn, Germany)
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09:30
Why random matrices share universal processes with interacting particle systems? Part III
1h30'
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11:00 - 11:30
Coffee Break
Location: Leonardo da Vinci Building, Lobby - 11:00 Coffee Break 30'
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11:30 - 13:00
The Riemann Hilbert method, Part II
Location: Leonardo da Vinci Building Main Lecture Hall -
11:30
The Riemann Hilbert method, Part II
1h30'
Speaker: Alexander Its (Indiana University - Purdue University Indianapolis (IUPUI), USA)
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11:30
The Riemann Hilbert method, Part II
1h30'
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13:00 - 14:30
Lunch Break
Location: - 13:00 Lunch Break 1h30'
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14:30 - 16:00
Zeros of random polynomials and analytic functions, Part III
Location: Leonardo da Vinci Building Main Lecture Hall -
14:30
Zeros of random polynomials and analytic functions, Part III
1h30'
Speaker: Krishnapur Manjunath (Indian Institute of Science (IIT), India)
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14:30
Zeros of random polynomials and analytic functions, Part III
1h30'
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16:00 - 16:30
Break
Location: - 16:00 Break 30'
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16:30 - 18:00
Random matrices and the six-vertex model, Part II
Location: Leonardo da Vinci Building Main Lecture Hall -
16:30
Random matrices and the six-vertex model, Part II
1h30'
Speaker: Pavel Bleher (Indiana University - Purdue University Indianapolis (IUPUI), USA)
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16:30
Random matrices and the six-vertex model, Part II
1h30'
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09:30 - 11:00
Why random matrices share universal processes with interacting particle systems? Part III
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09:30 - 11:00
The Riemann Hilbert method, Part III
Location: Leonardo da Vinci Building Main Lecture Hall -
09:30
The Riemann Hilbert method, Part III
1h30'
Speaker: Alexander Its (Indiana University - Purdue University Indianapolis (IUPUI), USA)
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09:30
The Riemann Hilbert method, Part III
1h30'
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11:00 - 11:30
Coffee Break
Location: Leonardo da Vinci Building, Lobby - 11:00 Coffee Break 30'
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11:30 - 13:00
Random matrices and the six-vertex model, Part III
Location: Leonardo da Vinci Building Main Lecture Hall -
11:30
Random matrices and the six-vertex model, Part III
1h30'
Speaker: Pavel Bleher (Indiana University - Purdue University Indianapolis (IUPUI), USA)
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11:30
Random matrices and the six-vertex model, Part III
1h30'
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09:30 - 11:00
The Riemann Hilbert method, Part III
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08:30 - 09:30
Registration and Administrative Formalities
Location: Leonardo da Vinci Building, Lobby - 08:30 Registration and Administrative Formalities 1h0'
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09:30 - 10:20
Spectral Distribution of Random Matrices and Free Probability
Location: Leonardo da Vinci Building Main Lecture Hall -
09:30
Spectral Distribution of Random Matrices and Free Probability
50'
Speaker: Friedrich Goetze (Bielefeld University, Germany)
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09:30
Spectral Distribution of Random Matrices and Free Probability
50'
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10:20 - 11:10
A unified approach to the problems of outliers and related eigenvectors for spiked additive or multiplicative deformations of classical random matrices as well as Information-Plus-Noise type models, through free subordination properties
Location: Leonardo da Vinci Building Main Lecture Hall -
10:20
A unified approach to the problems of outliers and related eigenvectors for spiked additive or multiplicative deformations of classical random matrices as well as Information-Plus-Noise type models, through free subordination properties
50'
Speaker: Mireille Capitaine (Institut de Mathématiques de Toulouse, France) Material: abstract slides
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10:20
A unified approach to the problems of outliers and related eigenvectors for spiked additive or multiplicative deformations of classical random matrices as well as Information-Plus-Noise type models, through free subordination properties
50'
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11:10 - 11:40
Coffee Break
Location: Leonardo da Vinci Building, Lobby - 11:10 Coffee Break 30'
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11:40 - 12:30
The distribution of eigenvalues near a regular boundary point in random normal matrix ensembles
Location: Leonardo da Vinci Building Main Lecture Hall -
11:40
The distribution of eigenvalues near a regular boundary point in random normal matrix ensembles
50'
Speaker: Nikolai Makarov (California Intitute of Technology, USA) Material: abstract
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11:40
The distribution of eigenvalues near a regular boundary point in random normal matrix ensembles
50'
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12:30 - 14:30
Lunch Break
Location: - 12:30 Lunch Break 2h0'
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14:30 - 15:20
Products of free non-Hermitian random matrices
Location: Leonardo da Vinci Building Main Lecture Hall -
14:30
Products of free non-Hermitian random matrices
50'
Speaker: Zdzislaw Burda (Jagellonian University, Poland) Material: abstract
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14:30
Products of free non-Hermitian random matrices
50'
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15:20 - 16:10
Local Circular Law for Random Matrices
Location: Leonardo da Vinci Building Main Lecture Hall -
15:20
Local Circular Law for Random Matrices
50'
Speaker: Jun Yin (University of Wisconsin, USA) Material: abstract
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15:20
Local Circular Law for Random Matrices
50'
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16:10 - 16:40
Coffee Break
Location: Leonardo da Vinci Building, Lobby - 16:10 Coffee Break 30'
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16:40 - 17:30
Finite rank perturbations to non-Hermitian matrices
Location: Leonardo da Vinci Building Main Lecture Hall -
16:40
Finite rank perturbations to non-Hermitian matrices
50'
Speaker: David Renfrew (UCLA, USA) Material: abstract
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16:40
Finite rank perturbations to non-Hermitian matrices
50'
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08:30 - 09:30
Registration and Administrative Formalities
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09:30 - 10:20
A Multi-layer extension of the KPZ equation
Location: Leonardo da Vinci Building Main Lecture Hall -
09:30
A Multi-layer extension of the KPZ equation
50'
Speaker: Jonathan Warren (Warwick University, UK) Material: abstract
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09:30
A Multi-layer extension of the KPZ equation
50'
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10:20 - 11:10
Anomalous shock fluctuations in TASEP and last passage percolation models
Location: Leonardo da Vinci Building Main Lecture Hall -
10:20
Anomalous shock fluctuations in TASEP and last passage percolation models
50'
Speaker: Patrik Ferrari (Universitaet Bonn, Germany) Material: abstract
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10:20
Anomalous shock fluctuations in TASEP and last passage percolation models
50'
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11:10 - 11:40
Coffee Break
Location: Leonardo da Vinci Building, Lobby - 11:10 Coffee Break 30'
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11:40 - 12:30
Height fluctuations for the stationary KPZ equation
Location: Leonardo da Vinci Building Main Lecture Hall -
11:40
Height fluctuations for the stationary KPZ equation
50'
Speaker: Balint Veto (Universitaet Bonn, Germany) Material: abstract
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11:40
Height fluctuations for the stationary KPZ equation
50'
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12:30 - 14:30
Lunch Break
Location: - 12:30 Lunch Break 2h0'
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14:30 - 15:20
Mean quantum percolation
Location: Leonardo da Vinci Building Main Lecture Hall -
14:30
Mean quantum percolation
50'
Speaker: Charles Bordenave (Université de Toulouse, France)
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14:30
Mean quantum percolation
50'
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15:20 - 16:10
Large Hankel determinants; difference equations, and Painleve VI
Location: Leonardo da Vinci Building Main Lecture Hall -
15:20
Large Hankel determinants; difference equations, and Painleve VI
50'
Speaker: Yang Chen (University of Macao, China) Material: abstract
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15:20
Large Hankel determinants; difference equations, and Painleve VI
50'
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16:10 - 16:30
Break
Location: - 16:10 Break 20'
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16:30 - 18:30
Poster Session and Get-together drink
A get-together drink will be served during the Poster Session
Location: Leonardo da Vinci Building Terrace -
16:30
Poster Session and Get-together drink
2h0'
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16:30
Poster Session and Get-together drink
2h0'
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09:30 - 10:20
A Multi-layer extension of the KPZ equation
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09:30 - 10:20
Double-scaling asymptotics for Toeplitz determinants
Location: Leonardo da Vinci Building Main Lecture Hall -
09:30
Double-scaling asymptotics for Toeplitz determinants
50'
Speaker: Igor Krasovsky (Imperial College of London, UK) Material: abstract
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09:30
Double-scaling asymptotics for Toeplitz determinants
50'
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10:20 - 11:10
Painlevé asymptotics for Toeplitz determinants with merging singularities
Location: Leonardo da Vinci Building Main Lecture Hall -
10:20
Painlevé asymptotics for Toeplitz determinants with merging singularities
50'
Speaker: Tom Claeys (Université Catholique de Louvain, Belgium) Material: abstract
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10:20
Painlevé asymptotics for Toeplitz determinants with merging singularities
50'
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11:10 - 11:40
Coffee Break
Location: Leonardo da Vinci Building, Lobby - 11:10 Coffee Break 30'
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11:40 - 12:30
Singular values of products of Ginibre random matrices, multiple orthogonal polynomials and hard edge scaling limits
Location: Leonardo da Vinci Building Main Lecture Hall -
11:40
Singular values of products of Ginibre random matrices, multiple orthogonal polynomials and hard edge scaling limits
50'
Speaker: Arno Kuijlaars (Katholieke Universiteit Leuven, Belgium)
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11:40
Singular values of products of Ginibre random matrices, multiple orthogonal polynomials and hard edge scaling limits
50'
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12:30 - 14:30
Lunch Break
Location: - 12:30 Lunch Break 2h0'
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14:30 - 15:20
Asymptotic analysis of a class of 2D orthogonal polynomials, with applications to the Normal Random Matrix Model
Location: Leonardo da Vinci Building Main Lecture Hall -
14:30
Asymptotic analysis of a class of 2D orthogonal polynomials, with applications to the Normal Random Matrix Model
50'
Speaker: Ken McLaughlin (University of Arizona, USA) Material: abstract
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14:30
Asymptotic analysis of a class of 2D orthogonal polynomials, with applications to the Normal Random Matrix Model
50'
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15:20 - 16:10
The scaling limit of the Laguerre-Cauchy Matrix model and the Meijer-G random point field
Location: Leonardo da Vinci Building Main Lecture Hall -
15:20
The scaling limit of the Laguerre-Cauchy Matrix model and the Meijer-G random point field
50'
Speaker: Marco Bertola (Concordia University, Canada) Material: abstract
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15:20
The scaling limit of the Laguerre-Cauchy Matrix model and the Meijer-G random point field
50'
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16:10 - 16:40
Coffee Break
Location: Leonardo da Vinci Building, Lobby - 16:10 Coffee Break 30'
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16:40 - 17:30
Calculation of the constant factor in the six-vertex model
Location: Leonardo da Vinci Building Main Lecture Hall -
16:40
Calculation of the constant factor in the six-vertex model
50'
Speaker: Pavel Bleher (IUPUI, USA) Material: abstract
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16:40
Calculation of the constant factor in the six-vertex model
50'
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19:00 - 21:00
Conference Dinner
Location: Adriatico Guest House (Terrace) - 19:00 Conference Dinner 2h0'
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09:30 - 10:20
Double-scaling asymptotics for Toeplitz determinants
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09:30 - 10:20
Limiting spectral distribution of patterned random matrices
Location: Leonardo da Vinci Building Main Lecture Hall -
10:20 - 11:10
The Altshuler-Shklovskii Formulas for Random Band Matrices
Location: Leonardo da Vinci Building Main Lecture Hall -
10:20
The Altshuler-Shklovskii Formulas for Random Band Matrices
50'
Speaker: Antti Knowles (Courant Institute of Mathematical Sciences, USA) Material: abstract
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10:20
The Altshuler-Shklovskii Formulas for Random Band Matrices
50'
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11:10 - 11:40
Coffee Break
Location: Leonardo da Vinci Building, Lobby - 11:10 Coffee Break 30'
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11:40 - 12:30
The Rate of Convergence to the Semi-Circular Law and to the Marchenko – Pastur Law
Location: Leonardo da Vinci Building Main Lecture Hall -
11:40
The Rate of Convergence to the Semi-Circular Law and to the Marchenko – Pastur Law
50'
Speaker: Alexander Tikhomirov (Komi Science Center, Russian Academy of Sciences, Russian Federation) Material: abstract
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11:40
The Rate of Convergence to the Semi-Circular Law and to the Marchenko – Pastur Law
50'
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12:30 - 14:30
Lunch Break
Location: - 12:30 Lunch Break 2h0'
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14:30 - 15:20
Change of variables as a universal approach to local and global regimes for $\beta$ matrix models
Location: Leonardo da Vinci Building Main Lecture Hall -
14:30
Change of variables as a universal approach to local and global regimes for $\beta$ matrix models
50'
Speaker: Mariya Shcherbina (Institute for Low Temperature Physics, Ukranian Academy of Sciences, Ukraine) Material: abstract
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14:30
Change of variables as a universal approach to local and global regimes for $\beta$ matrix models
50'
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15:20 - 16:10
Products of Random Matrices: Exact Results for Eigen- and
Singular Values
Location: Leonardo da Vinci Building Main Lecture Hall -
15:20
Products of Random Matrices: Exact Results for Eigen- and
Singular Values
50'
Speaker: Gernot Akemann (Bielefeld University, Germany)
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15:20
Products of Random Matrices: Exact Results for Eigen- and
Singular Values
50'
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16:10 - 16:40
Coffee Break
Location: Leonardo da Vinci Building, Lobby - 16:10 Coffee Break 30'
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16:40 - 17:30
Circular unitary ensembles with highly oscillatory potential
Location: Leonardo da Vinci Building Main Lecture Hall -
16:40
Circular unitary ensembles with highly oscillatory potential
50'
Speaker: Jinho Baik (University of Michigan, USA) Material: abstract
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16:40
Circular unitary ensembles with highly oscillatory potential
50'
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09:30 - 10:20
Limiting spectral distribution of patterned random matrices
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09:30 - 10:20
Random weighted projections, random quadratic forms and random eigenvectors
Location: Leonardo da Vinci Building Main Lecture Hall -
09:30
Random weighted projections, random quadratic forms and random eigenvectors
50'
Speaker: Ke Wang (Institute for Mathematics and its Applications, USA)
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09:30
Random weighted projections, random quadratic forms and random eigenvectors
50'
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10:20 - 11:10
Infinite Determinantal Measures
Location: Leonardo da Vinci Building Main Lecture Hall -
10:20
Infinite Determinantal Measures
50'
Speaker: Alexander Bufetov (Steklov Mathematical Institute of the Russian Academy of Sciences, Russian Federation) Material: abstract
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10:20
Infinite Determinantal Measures
50'
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11:10 - 11:40
Coffee Break
Location: Leonardo da Vinci Building, Lobby - 11:10 Coffee Break 30'
-
11:40 - 12:30
CLT of Large Sample Covariance Matrices
Location: Leonardo da Vinci Building Main Lecture Hall -
11:40
CLT of Large Sample Covariance Matrices
50'
Speaker: Guangming Pan (Nanyang Technological University, Singapore) Material: abstract
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11:40
CLT of Large Sample Covariance Matrices
50'
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09:30 - 10:20
Random weighted projections, random quadratic forms and random eigenvectors