Zobrazeno 1 - 10
of 91
pro vyhledávání: '"Kistler, Nicola"'
The free energy of TAP-solutions for the SK-model of mean field spin glasses can be expressed as a nonlinear functional of local terms: we exploit this feature in order to contrive abstract REM-like models which we then solve by a classical large dev
Externí odkaz:
http://arxiv.org/abs/2212.11718
Autor:
Kistler, Nicola
We show that spin systems with generic (ferro- or paramagnetic, or random) interactions are "completely integrable". The approach is worked out, by way of example, for the Sherrington Kirkpatrick model: we derive an exact, closed formula for the quen
Externí odkaz:
http://arxiv.org/abs/2111.04375
We show that for low enough temperatures, but still above the AT line, the Jacobian of the TAP equations for the SK model has a macroscopic fraction of eigenvalues outside the unit interval. This provides a simple explanation for the numerical instab
Externí odkaz:
http://arxiv.org/abs/2111.02134
Autor:
Kistler, Nicola, Sebastiani, Giulia
We introduce a nonlinear, nonhierarchical generalization of Derrida's GREM and establish through a Sanov-type large deviation analysis both a Boltzmann-Gibbs principle as well as a Parisi formula for the limiting free energy. In line with the predict
Externí odkaz:
http://arxiv.org/abs/2106.07279
Autor:
Kistler, Nicola, Schertzer, Adrien
We consider the problem of undirected polymers (tied at the endpoints) in random environment, also known as the unoriented first passage percolation on the hypercube, in the limit of large dimensions. By means of the multiscale refinement of the seco
Externí odkaz:
http://arxiv.org/abs/2012.04076
Autor:
Kistler, Nicola, Sebastiani, Giulia
Publikováno v:
In Stochastic Processes and their Applications September 2023 163:1-24
We study the total mass of high points in a random model for the Riemann-Zeta function. We consider the same model as in [8], [2], and build on the convergence to 'Gaussian' multiplicative chaos proved in [14]. We show that the total mass of points w
Externí odkaz:
http://arxiv.org/abs/1906.08573
We sketch a new framework for the analysis of disordered systems, in particular mean field spin glasses, which is variational in nature and within the formalism of classical thermodynamics. For concreteness, only the Sherrington-Kirkpatrick model is
Externí odkaz:
http://arxiv.org/abs/1902.00955
This is the second, and last paper in which we address the behavior of oriented first passage percolation on the hypercube in the limit of large dimensions. We prove here that the extremal process converges to a Cox process with exponential intensity
Externí odkaz:
http://arxiv.org/abs/1808.04598
The Poisson clumping heuristic has lead Aldous to conjecture the value of the first passage percolation on the hypercube in the limit of large dimensions. Aldous' conjecture has been rigorously confirmed by Fill and Pemantle [Annals of Applied Prob-
Externí odkaz:
http://arxiv.org/abs/1804.03117