[PDF] Top 20 Directed polymers and the KPZ equation
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Directed polymers and the KPZ equation
... l’´ equation de la chaleur stochastique avec bruit multiplicatif (SHE) et l’´ equation Kardar-Parisi-Zhang (KPZ), en diff´ erentes dimensions ...l’´ equation KPZ et l’´ equation ... Voir le document complet
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Weakly Asymmetric Bridges and the KPZ Equation
... towards KPZ, we refer to Amir, Corwin and Quastel [ ACQ11 ], Dembo and Tsai [ DT16 ], Corwin and Tsai [ CT15 ] and Corwin, Shen and Tsai [ CST16 ...out the reviews of ... Voir le document complet
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A Local limit theorem for directed polymers in random media: the continuous and the discrete case.
... in the continuous ...in the case of dimension less or equal to 2 or when the temperature is ...cases, the polymer is non- diffusive (see remark 2.6 below) and many conjectures remain ... Voir le document complet
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Directed Polymers in Random Environment are Diffusive at Weak Disorder
... The ground state of the model, defined as the limit when β → ∞, is the so-called ori- ented last passage percolation ...For the ground state it is believed that the exponents ... Voir le document complet
24
Majorizing multiplicative cascades for directed polymers in random media
... set of points (t, x) with t ∈ N, x ∈ Z, P (ω t = x) > 0, which are connected to ∞ by an open oriented path – i.e., a path ω with η(s, ω s ) = 1 ∀s > t. It is known that this cluster, at large scale, is ... Voir le document complet
12
Strong disorder implies strong localization for directed polymers in a random environment
... was the first to establish that (Z t ) t ≥0 was a pos- itive martingale, converging almost surely to a finite random variable Z ∞ , satisfying a z ero-one law : P(Z ∞ > 0) ∈ {0, ...surely, and weak ... Voir le document complet
15
Singular KPZ Type Equations
... which the appropriate modification of the enhancement of ξ ε is costructed, and an analytic step, where the actual convergence of the modified enhancement is ...complex and it is ... Voir le document complet
206
Role and properties of the confined amorphous phase of polymers
... The crystalline lamellae have thicknesses varying typically from several nanometers to several tens of ...nanometers. The fusion temperature is directly linked to their thicknesses according to ... Voir le document complet
163
Some integrable models in the KPZ universality class
... OF THE Q-TASEP Borodin-Corwin’s theory of Macdonald processes [BC14] provides an algebraic frame- work to study integrable models in the KPZ universality class, extending the Schur pro- cesses ... Voir le document complet
191
Renormalization of Critical Gaussian Multiplicative Chaos and KPZ formula
... Recently, the authors in [ 20 ] constructed a probabilistic and geometrical framework for two dimensional Liouville quantum gravity and the KPZ equation [ 39 ], based on ... Voir le document complet
40
Directed polymers in random media and multifractal fields
... L’équation KPZ a été utilisée pour modéliser la ligne de propagation d’un feu dans une forêt ou sur du papier, la croissance de colonies de bactéries sur une boite de Petri, ...de KPZ et des polymères ... Voir le document complet
109
Directed Polymers and Rough Paths
... of the main results of this chapter is the following: Theorem ...A. The proof consists of an iterative construction of a geometric rough path over the given Hölder paths, thus improving ... Voir le document complet
177
DERIVATION OF COUPLED KPZ-BURGERS EQUATION FROM MULTI-SPECIES ZERO-RANGE PROCESSES
... to the uniform topology on D([0, T ], D 0 (T) n ), to the unique multi-species energy solution Y · of ...on the tori T N , there are straightforward exten- sions of the theorems to Z ... Voir le document complet
55
Strong localization and macroscopic atoms for directed polymers
... ǫ-atoms. The purpose of this article is to study where the polymer measure (µ j−1 (ω j = x)) x∈Z d is concentrated for large j; under assumptions on the environment η and on the inverse ... Voir le document complet
17
The Schrödinger Equation
... On the numerical solution of the Schr¨odinger equation Due to the high dimensionality of the Schr¨odinger equation its solution is only possi- ble for very reduced populations of ... Voir le document complet
27
Branched Polymers and Hyperplane Arrangements
... i and j touch in the polymer. The space of branched polymers of or- der n in R D can be parametrized by the D-dimensional angles at which the spheres are attached to each ... Voir le document complet
18
Cardy embedding of random planar maps and a KPZ formula for mated trees
... Certain maps decorated with statistical physics models may be encoded bijectively by two- dimensional walks. Often this encoding is a discrete analog of the peanosph[r] ... Voir le document complet
259
Homogenization and enhancement for the G-equation
... NOLEN, AND P. E. SOUGANIDIS Version: March 8, 2010 Abstract. We consider the so-called G-equation, a level set Hamilton-Jacobi equation, used as a sharp interface model for flame propagation, ... Voir le document complet
31
OCCUPATION TIMES OF LONG-RANGE EXCLUSION AND CONNECTIONS TO KPZ CLASS EXPONENTS
... The methods of the article make use of a combination of martingale CLT, ‘duality’, and H −1 norm variational formula ...of the arguments nontrivially generalize, to long-range models, ... Voir le document complet
52
On the eigenvalues of weighted directed graphs
... e and Nabila Torki-Hamza for all the fruitful discus- sions, helpful suggestions and their guidance during this ...by the ”PHC Utique” program of the French Ministry of Foreign Affairs ... Voir le document complet
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