Zobrazeno 1 - 10
of 2 600
pro vyhledávání: '"Loewner evolution"'
Autor:
Abril, Leidy M. L., Oliveira, Erneson A., Moreira, André A., Andrade Jr., José S., Herrmann, Hans J.
Publikováno v:
Physica A: Statistical Mechanics and its Applications 653 (2024) 130066
Mandelbrot's empirical observation that the coast of Britain is fractal has been confirmed by many authors, but it can be described by the Schramm--Loewner Evolution? Since the self-affine surface of our planet has a positive Hurst exponent, one woul
Externí odkaz:
http://arxiv.org/abs/2409.20315
Autor:
Ang, Morris, Gwynne, Ewain
There are many deep and useful theorems relating Schramm-Loewner evolution (SLE$_\kappa$) and Liouville quantum gravity ($\gamma$-LQG) in the case when the parameters satisfy $\kappa \in \{\gamma^2, 16/\gamma^2\}$. Roughly speaking, these theorems sa
Externí odkaz:
http://arxiv.org/abs/2310.11455
Autor:
Javerzat, Nina
Publikováno v:
Phys. Rev. Lett. 132, 018201 (2024)
Amorphous solids may resist external deformation such as shear or compression while they do not present any long-range translational order or symmetry at the microscopic scale. Yet, it was recently discovered that, when they become rigid, such materi
Externí odkaz:
http://arxiv.org/abs/2301.07614
Autor:
Holden, Nina, Yuan, Yizheng
We find optimal (up to constant) bounds for the following measures for the regularity of the Schramm-Loewner evolution (SLE): variation regularity, modulus of continuity, and law of the iterated logarithm. For the latter two we consider the SLE with
Externí odkaz:
http://arxiv.org/abs/2211.15609
Autor:
Wei, Tianyu, Dai, Wanyang
Studying SLE$_{\kappa}$ on $S^2$ provides a new and interesting perspective for the conformality of some 2-dimensional physical models. We prove the existence and some basic properties of the spherical Minkowski content of SLE$_{\kappa}$, which is fi
Externí odkaz:
http://arxiv.org/abs/2211.06242
Autor:
Guskov, Vladislav
We establish a large deviation principle for chordal SLE$_\kappa$ parametrized by capacity, as the parameter $\kappa \to 0+$, in the topology generated by uniform convergence on compact intervals of the positive real line. The rate function is shown
Externí odkaz:
http://arxiv.org/abs/2209.00673
Autor:
Fakhry, Rami, Zhan, Dapeng
In the paper we prove that, for $\kappa\in(0,8)$, the $n$-point boundary Green's function of exponent $\frac8\kappa -1$ for chordal SLE$_\kappa$ exists. We also prove that the convergence is uniform over compact sets and the Green's function is conti
Externí odkaz:
http://arxiv.org/abs/2208.13667
Autor:
Gwynne, Ewain, Pfeffer, Joshua
We study the Loewner evolution whose driving function is $W_t = B_t^1 + i B_t^2$, where $(B^1,B^2)$ is a pair of Brownian motions with a given covariance matrix. This model can be thought of as a generalization of Schramm-Loewner evolution (SLE) with
Externí odkaz:
http://arxiv.org/abs/2203.07313