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papers

Publications (44)

math.PR2018

Confinement of Brownian Polymers under Geometric Area Tilts

Pietro Caputo, Dmitry Ioffe, Vitali Wachtel

cs.DM2017

Spatial Mixing and Systematic Scan Markov chains

Antonio Blanca, Pietro Caputo, Alistair Sinclair +1

math.CO2018

On the spectral radius of a random matrix: an upper bound without fourth moment

Charles Bordenave, Pietro Caputo, Djalil Chafai +1

math.PR2015

Random lattice triangulations: Structure and algorithms

Pietro Caputo, Fabio Martinelli, Alistair Sinclair +1

math.PR2008

On the spectral gap of the Kac walk and other binary collision processes

Pietro Caputo

math.PR2004

Phase ordering after a deep quench: the stochastic Ising and hard core gas models on a tree

Pietro Caputo, Fabio Martinelli

math.SP2017

Spectrum of large random Markov chains: heavy-tailed weights on the oriented complete graph

Charles Bordenave, Pietro Caputo, Djalil ChafaÃ¯ +1

math.PR2005

Spectral gap estimates for interacting particle systems via a Bochner-type identity

Anne-Severine Boudou, Pietro Caputo, Paolo Dai Pra +1

math.PR2003

Uniform Poincare inequalities for unbounded conservative spin systems: The non-interacting case

Pietro Caputo

math.PR2018

Random walk on sparse random digraphs

Charles Bordenave, Pietro Caputo, Justin Salez

cond-mat.stat-mech2001

Asymmetric diffusion and the energy gap above the 111 ground state of the quantum XXZ model

Pietro Caputo, Fabio Martinelli

math.PR2006

Entropy dissipation estimates in a Zero-Range dynamics

Pietro Caputo, Gustavo Posta

cs.DM2017

Spatial Mixing and Non-local Markov chains

Antonio Blanca, Pietro Caputo, Alistair Sinclair +1

math.PR2011

Spectrum of non-Hermitian heavy tailed random matrices

Charles Bordenave, Pietro Caputo, Djalil Chafai

math.PR2015

Approximate tensorization of entropy at high temperature

Pietro Caputo, Georg Menz, Prasad Tetali

math.PR2012

The shape of the $(2+1)$D SOS surface above a wall

Pietro Caputo, Eyal Lubetzky, Fabio Martinelli +2

math.PR2018

Cutoff at the "entropic time" for sparse Markov chains

Charles Bordenave, Pietro Caputo, Justin Salez

math.PR2010

Convergence to equilibrium of biased plane partitions

Pietro Caputo, Fabio Martinelli, Fabio Lucio Toninelli

math.PR2002

Relaxation time of anisotropic simple exclusion processes and quantum Heisenberg models

Pietro Caputo, Fabio Martinelli

math.PR2007

Isoperimetric inequalities and mixing time for a random walk on a random point process

Pietro Caputo, Alessandra Faggionato

math.PR2010

Polymer dynamics in the depinned phase: metastability with logarithmic barriers

Pietro Caputo, Hubert Lacoin, Fabio Martinelli +2

math.PR2015

On the probability of staying above a wall for the (2+1)-dimensional SOS model at low temperature

Pietro Caputo, Fabio Martinelli, Fabio Lucio Toninelli

math.PR2001

Finite volume approximation of the effective diffusion matrix: The case of independent bond disorder

Pietro Caputo, Dima Ioffe

math.PR2015

Convergence to equilibrium for a directed (1+d)-dimensional polymer

Pietro Caputo, Julien Sohier

math-ph2010

"Zero" temperature stochastic 3D Ising model and dimer covering fluctuations: a first step towards interface mean curvature motion

Pietro Caputo, Fabio Martinelli, Francois Simenhaus +1

math.PR2014

Dynamics of $(2+1)$-dimensional SOS surfaces above a wall: Slow mixing induced by entropic repulsion

Pietro Caputo, Eyal Lubetzky, Fabio Martinelli +2

math.PR2009

Proof of Aldous' spectral gap conjecture

Pietro Caputo, Thomas M. Liggett, Thomas Richthammer

math.PR2016

Entropy production in nonlinear recombination models

Pietro Caputo, Alistair Sinclair

math.PR2017

Entropic repulsion in $|\nabla Ï|^p$ surfaces: a large deviation bound for all $p\geq 1$

Pietro Caputo, Fabio Martinelli, Fabio Lucio Toninelli

math.PR2013

Scaling limit and cube-root fluctuations in SOS surfaces above a wall

Pietro Caputo, Eyal Lubetzky, Fabio Martinelli +2

math.PR2016

Large deviations of empirical neighborhood distribution in sparse random graphs

Charles Bordenave, Pietro Caputo

math.PR2010

Circular Law Theorem for Random Markov Matrices

Charles Bordenave, Pietro Caputo, Djalil Chafai

math.PR1999

A Note on Wetting Transition for Gradient Fields

Pietro Caputo, Yvan Velenik

math.PR2015

Dynamics of Lattice Triangulations on Thin Rectangles

Pietro Caputo, Fabio Martinelli, Alistair Sinclair +1

math.PR2011

Mixing times of monotone surfaces and SOS interfaces: a mean curvature approach

Pietro Caputo, Fabio Martinelli, Fabio Lucio Toninelli

math.PR2019

Tightness and Line Ensembles for Brownian Polymers under Geometric Area Tilts

Pietro Caputo, Dmitry Ioffe, Vitali Wachtel

math.PR2012

Spectrum of large random reversible Markov chains: Heavy-tailed weights on the complete graph

Charles Bordenave, Pietro Caputo, Djalil ChafaÃ¯

math.PR2007

Convex Entropy Decay via the Bochner-Bakry-Emery approach

Pietro Caputo, Paolo Dai Pra, Gustavo Posta

math.PR2007

Analysis of top-swap shuffling for genome rearrangements

Nayantara Bhatnagar, Pietro Caputo, Prasad Tetali +1

math.PR2008

On the approach to equilibrium for a polymer with adsorption and repulsion

Pietro Caputo, Fabio Martinelli, Fabio Lucio Toninelli

math.PR2014

A large deviation principle for Wigner matrices without Gaussian tails

Charles Bordenave, Pietro Caputo

math.PR2014

Spectrum of Markov generators on sparse random graphs

Charles Bordenave, Pietro Caputo, Djalil Chafai

math.PR2010

Spectrum of large random reversible Markov chains: two examples

Charles Bordenave, Pietro Caputo, Djalil Chafai

math.PR2014

Multi-level pinning problems for random walks and self-avoiding lattice paths

Pietro Caputo, Fabio Martinelli, Fabio Lucio Toninelli

Publications (44)

Confinement of Brownian Polymers under Geometric Area Tilts

Spatial Mixing and Systematic Scan Markov chains

On the spectral radius of a random matrix: an upper bound without fourth moment

Random lattice triangulations: Structure and algorithms

On the spectral gap of the Kac walk and other binary collision processes

Phase ordering after a deep quench: the stochastic Ising and hard core gas models on a tree

Spectrum of large random Markov chains: heavy-tailed weights on the oriented complete graph

Spectral gap estimates for interacting particle systems via a Bochner-type identity

Uniform Poincare inequalities for unbounded conservative spin systems: The non-interacting case

Random walk on sparse random digraphs

Asymmetric diffusion and the energy gap above the 111 ground state of the quantum XXZ model

Entropy dissipation estimates in a Zero-Range dynamics

Spatial Mixing and Non-local Markov chains

Spectrum of non-Hermitian heavy tailed random matrices

Approximate tensorization of entropy at high temperature

The shape of the $(2+1)$D SOS surface above a wall

Cutoff at the "entropic time" for sparse Markov chains

Convergence to equilibrium of biased plane partitions

Relaxation time of anisotropic simple exclusion processes and quantum Heisenberg models

Isoperimetric inequalities and mixing time for a random walk on a random point process

Polymer dynamics in the depinned phase: metastability with logarithmic barriers

On the probability of staying above a wall for the (2+1)-dimensional SOS model at low temperature

Finite volume approximation of the effective diffusion matrix: The case of independent bond disorder

Convergence to equilibrium for a directed (1+d)-dimensional polymer

"Zero" temperature stochastic 3D Ising model and dimer covering fluctuations: a first step towards interface mean curvature motion

Dynamics of $(2+1)$-dimensional SOS surfaces above a wall: Slow mixing induced by entropic repulsion

Proof of Aldous' spectral gap conjecture

Entropy production in nonlinear recombination models

Entropic repulsion in $|\nabla Ï|^p$ surfaces: a large deviation bound for all $p\geq 1$

Scaling limit and cube-root fluctuations in SOS surfaces above a wall

Large deviations of empirical neighborhood distribution in sparse random graphs

Circular Law Theorem for Random Markov Matrices

A Note on Wetting Transition for Gradient Fields

Dynamics of Lattice Triangulations on Thin Rectangles

Mixing times of monotone surfaces and SOS interfaces: a mean curvature approach

Tightness and Line Ensembles for Brownian Polymers under Geometric Area Tilts

Spectrum of large random reversible Markov chains: Heavy-tailed weights on the complete graph

Convex Entropy Decay via the Bochner-Bakry-Emery approach

Analysis of top-swap shuffling for genome rearrangements

On the approach to equilibrium for a polymer with adsorption and repulsion

A large deviation principle for Wigner matrices without Gaussian tails

Spectrum of Markov generators on sparse random graphs

Spectrum of large random reversible Markov chains: two examples

Multi-level pinning problems for random walks and self-avoiding lattice paths

Entropic repulsion in $|\nabla Ï|^p$ surfaces: a large deviation bound for all $p\geq 1$