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381 papers · 1 filter
Classification of diffusion processes in dimension via the Carleman approach with applications to models involving additive, multiplicative or square-root noises
Cecile Monthus
The Carleman approach is well-known in the field of deterministic classical dynamics as a method to replace a finite number of non-linear differential equations by an infinite-…
Burgers dynamics for Poisson point process initial conditions of the Weibull class
Patrick Valageas
We derive the statistical properties of one-dimensional Burgers dynamics with stochastic initial conditions for the velocity potential defined by a Poisson point process whose inte…
Burgers dynamics for Poisson point process initial conditions
Patrick Valageas
We investigate the statistical properties of one-dimensional Burgers dynamics evolving from stochastic initial conditions defined by a Poisson point process for the velocity potent…
Refinements of the Eigenstate Thermalization Hypothesis under Local Rotational Invariance via Free Probability
Elisa Vallini, Laura Foini, Silvia Pappalardi
The Eigenstate Thermalization Hypothesis (ETH) was developed as a framework for understanding how the principles of statistical mechanics emerge in the long-time limit of isolated…
Backbone three-point correlation function in the two-dimensional Potts model
Ming Li, Youjin Deng, Jesper Lykke Jacobsen +1
We study the three-point correlation function of the backbone in the two-dimensional -state Potts model using the Fortuin--Kasteleyn (FK) representation. The backbone is defined…
Quenched properties of the Spectral Form Factor
Dimitrios Charamis, Manas Kulkarni, Jorge Kurchan +1
The Spectral Form Factor (SFF) is defined as the modulus squared of the partition function in complex temperature for hermitian matrices and a suitable generalisation has been give…