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The transverse-field Ising models with random exchange interactions in finite dimensions are investigated by means of a real-space renormalization-group method. The scheme yields the exact values of the critical point and critical exponent…

Disordered Systems and Neural Networks · Physics 2015-06-11 Ryoji Miyazaki , Hidetoshi Nishimori

We identify a duality transformation in one-dimensional hopping models that relates propagators in general disordered potentials linked by an up-down inversion of the energy landscape. This significantly generalises previous results for a…

Statistical Mechanics · Physics 2009-11-30 Robert L. Jack , Peter Sollich

The quantum renormalization group method is applied to study the quantum criticality and entanglement entropy of the ground state of the Ising chain in the presence of antisymmetric anisotropic couplings and alternating exchange…

Strongly Correlated Electrons · Physics 2012-08-09 Xiang Hao

We address the problem of searching for a change point in an anomalous process among a finite set of M processes. Specifically, we address a composite hypothesis model in which each process generates measurements following a common…

Machine Learning · Statistics 2024-12-30 Liad Lea Didi , Tomer Gafni , Kobi Cohen

We discuss asymptotics for large random planar maps under the assumption that the distribution of the degree of a typical face is in the domain of attraction of a stable distribution with index $\alpha\in(1,2)$. When the number $n$ of…

Probability · Mathematics 2017-08-23 Jean-François Le Gall , Grégory Miermont

We investigate the asymptotic properties of the large deviation function of the integrated particle current in systems, in or out of thermal equilibrium, whose dynamics exhibits anomalous diffusion. The physical systems covered by our study…

Statistical Mechanics · Physics 2011-11-29 Vivien Lecomte , Uwe C. Tauber , Frederic van Wijland

Two different models exhibiting self-organized criticality are analyzed by means of the dynamic renormalization group. Although the two models differ by their behavior under a parity transformation of the order parameter, it is shown that…

Condensed Matter · Physics 2009-10-22 Albert Diaz-Guilera

We study a contact process with creation at first- and second-neighbor sites and inhibition at first neighbors, in the form of an annihilation rate that increases with the number of occupied first neighbors. Mean-field theory predicts three…

Statistical Mechanics · Physics 2011-07-05 Marcelo Martins de Oliveira , Ronald Dickman

We study the contact process on a random bipartite connection hypergraph generated from two Poisson point processes, with mark-dependent connection thresholds. For asymmetric infection rates and asymmetric power law tail decays of the two…

Probability · Mathematics 2026-04-02 John Fernley , Christian Hirsch , Daniel Valesin

The problem of a random walk in a disordered media is mapped into a model of a random walk with memory. The latter model, as opposed to the former one, does not make reference to a particular realization of the disorder. The equivalence of…

Condensed Matter · Physics 2009-10-28 Michele Vendruscolo , Matteo Marsili

Dynamical mean-field approximations are performed to study the phase transition of a pair contact process with diffusion in different spatial dimensions. The level of approximation is extended up to 18-site clusters for the one-dimensional…

Statistical Mechanics · Physics 2007-05-23 Attila Szolnoki

Using a renormalization approach, we study the asymptotic limit distribution of the maximum value in a set of independent and identically distributed random variables raised to a power q(n) that varies monotonically with the sample size n.…

Statistical Mechanics · Physics 2012-04-17 Florian Angeletti , Eric Bertin , Patrice Abry

This paper introduces constrained mixtures for continuous distributions, characterized by a mixture of distributions where each distribution has a shape similar to the base distribution and disjoint domains. This new concept is used to…

Machine Learning · Statistics 2015-03-29 Conrado S. Miranda , Fernando J. Von Zuben

We study the local persistence probability during non-stationary time evolutions in disordered contact processes with long-range interactions by a combination of the strong-disorder renormalization group (SDRG) method, a phenomenological…

Statistical Mechanics · Physics 2020-08-19 Róbert Juhász

Spreading of bacteria in a highly advective, disordered environment is examined. Predictions of super-diffusive spreading for a simplified reaction-diffusion equation are tested. Concentration profiles display anomalous growth and…

Biological Physics · Physics 2007-05-23 John H. Carpenter , Karin A. Dahmen

We present a technique to study normalizing strategies when termination is asymptotic, that is, it appears as a limit, as opposite to reaching a normal form in a finite number of steps. Asymptotic termination occurs in several settings,…

Logic in Computer Science · Computer Science 2022-05-24 Claudia Faggian , Giulio Guerrieri

The renormalization that relates a coupling "a" associated with a distinct renormalization group beta function in a given theory is considered. Dimensional regularization and mass independent renormalization schemes are used in this…

High Energy Physics - Phenomenology · Physics 2017-07-05 F. A. Chishtie , D. G. C. McKeon

We introduce a renormalization procedure which allows us to study in a unified and concise way different properties of the irrational rotations on the unit circle $\beta \mapsto \set{\alpha+\beta}$, $\alpha \in \R\setminus \Q$. In…

Dynamical Systems · Mathematics 2007-08-02 Claudio Bonanno , Stefano Isola

We consider the problem of distributing a centralised transition system to a set of asynchronous agents recognising the same language. Existing solutions are either manual or involve a huge explosion in the number of states from the…

Logic in Computer Science · Computer Science 2025-05-29 Yehia Abd Alrahman , Nir Piterman

A model of randomly distributed overlapping spheres of different radii is represented to describe a heterogeneous porous medium. Two-particle correlation function of the relative position of pores of different radii in the medium space was…

Soft Condensed Matter · Physics 2016-03-04 V. D. Borman , A. A. Belogorlov , V. A. Byrkin , V. N. Tronin , V. I. Troyan