##### Conference

#### Random Interfaces and Integrable Probability

**Jun, 22 2015 - Jun, 26 2015**

**Organizers**

Alexei Borodin (MIT), Jérémie Bouttier (CEA, Saclay),

Filippo Colomo (INFN, Florence), Richard Kenyon (Brown University)

**Contact**

colomo@fi.infn.it

**Website**

http://theory.fi.infn.it/SMIC/confRM/

**Abstract**

The conference is one of the activities taking place at the Galileo Galilei Institute in the framework of the two month workshop on Statistical Mechanics, Integrability and Combinatorics. It aims at bringing together mathematicians and physicists interested in problems of statistical mechanics of exactly solvable systems, where various tools and techniques from combinatorics, random matrices, probability theory and representation theory have boosted recent progresses in the field.

Emphasis is put on random interfaces, such as those emerging in dimer models, random polymer models, random growth processes, Asymmetric Simple Exclusion Processes, etc, and their properties in the limit of large systems (limit-shape phenomena, KPZ university class, etc).

For further info, please visit the external website.

**Talks**

Jun, 22 2015 - 10:30 | Craig Tracy | A Bethe Ansatz Approach to ASEP | Seminar | Slides | ||||

Jun, 22 2015 - 11:40 | Ivan Corwin | Stochastic quantum integrable systems | Seminar | We describe recent work involving interacting particle systems related to quantum |
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Jun, 22 2015 - 14:30 | Leonid Petrov | Stochastic quantum integrable systems in infinite volume | Seminar | I will discuss the higher spin vertex model, which is a (discrete-time) stochastic quantum integrable |
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Jun, 22 2015 - 16:00 | Nicolai Reshetikhin | Are limit shape equations integrable? | Seminar | We will argue that limit shape equations are integrable for models in statistical mechanics where |
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Jun, 23 2015 - 09:00 | Patrick Ferrari | Height fluctuations for the stationary KPZ equation | Seminar | In this talk I will discuss the height fluctuations of models in the KPZ (Kardar-Parisi-Zhang) |
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Jun, 23 2015 - 10:30 | Fabio Toninelli | A class of (2+1)-dimensional growth process with explicit stationary measure | Seminar | We introduce a class of (2+1)-dimensional random growth processes, that can be seen as |
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Jun, 23 2015 - 11:40 | Pavel L. Krapivsky | Limiting shapes of Ising droplets, fingers, and corners | Seminar | Slides | ||||

Jun, 23 2015 - 14:30 | Pierre Le Doussal | Exact results and conjectures from the replica Bethe ansatz for KPZ growth and random directed polymers | Seminar | We describe the replica Bethe Ansatz (RBA) method for the continuum KPZ equation and directed |
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Jun, 23 2015 - 16:00 | Vadim Gorin | Central Limit Theorem for discrete log-gases | Seminar | A log-gas is an ensemble of N particles on the real line, for which the probability of a configuration |
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Jun, 24 2015 - 09:00 | Alexei Bufetov | Asymptotics of representations of classical Lie groups | Seminar | We study the decompositions into irreducible components of tensor products and restrictions of |
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Jun, 24 2015 - 10:30 | Maurice Duits | Global fluctuations of non-colliding processes and non-intersecting paths | Seminar | Ensembles of non-intersecting paths and non-colliding processes give rise to random surfaces in a |
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Jun, 24 2015 - 11:40 | Mirjana Vuletic | Asymptotic behaviors in Schur processes | Seminar | We present some asymptotic results, like the limit shape and fluctuation behavior at the edge, of |
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Jun, 25 2015 - 09:00 | Christian Krattenthaler | A factorisation theorem for the number of rhombus tilings of a hexagon with trianglar holes | Seminar | I shall present a curious factorisation theorem for the number of rhombus tilings of a hexagon with |
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Jun, 25 2015 - 10:30 | Béatrice de Tilière | The Z-invariant massive Laplacian on isoradial graphs | Seminar | After having explained the notion of Z-invariance for models of statistical mechanics, we introduce |
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Jun, 25 2015 - 11:40 | Alexander B. Goncharov | Non-commutative vector bundles with flat connections on surfaces | Seminar | |||||

Jun, 25 2015 - 14:30 | Andrea Sportiello | Simple approaches to arctic curves for Alternating Sign Matrices | Seminar | We consider Alternating Sign Matrices (ASM) with a weight w per -1 in the matrix. Many things |
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Jun, 25 2015 - 16:00 | Codina Cotar | Gradient Gibbs measures with disorder | Seminar | We consider - in uniformly strictly convex potentials case - two versions of random gradient |
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Jun, 26 2015 - 09:00 | Francois David | Planar maps, circle patterns, conformal point processes and 2D gravity | Seminar | I present a model of random planar triangulations (planar maps) based on circle patterns and discuss |
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Jun, 26 2015 - 10:30 | Paul Fendley | Integrability, Topology and Discrete “Holomorphicity” | Seminar | Integrable systems have applications ranging from experimental physics to profound mathematics. |
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Jun, 26 2015 - 11:40 | Jesper Jacobsen | Logarithmic correlations in percolation and other geometrical critical phenomena | Seminar | The purpose of renormalisation group and quantum field theory approaches to critical phenomena is |
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Jun, 26 2015 - 14:30 | Paul Wiegmann | Random Matrices, Growth and Hydrodynamics Singularities | Seminar | I review the approach to Hele-Shaw problem, stochastic aggregation and hydrodynamics |
Slides |