Zobrazeno 1 - 10
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pro vyhledávání: '"Schramm, P."'
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
For a graph $G$ let $\varepsilon(G)$ denote the number of Eulerian orientations, and $v(G)$ denote the number of vertices of $G$. We show that if $(G_n)_n$ is a sequence of Eulerian graphs that are convergent in Benjamini--Schramm sense, then $\lim\l
Externí odkaz:
http://arxiv.org/abs/2409.18012
Autor:
Gavelli, Giacomo, Kamp, Claudius
We show that Plancherel convergence is strictly stronger than Benjamini-Schramm convergence. In order to do so, we introduce two criteria for Plancherel and Benjamini-Schramm convergence in terms of counting functions of the length spectrum.
Externí odkaz:
http://arxiv.org/abs/2407.18822
Autor:
Deitmar, Anton
The equivalence of spectral convergence and Benjamini-Schramm convergence is extended from homogeneous spaces to spaces which are compact modulo isometry group. The equivalence is proven under the condition of a uniform discreteness property. It is o
Externí odkaz:
http://arxiv.org/abs/2407.17264
Autor:
Ang, Morris, Gwynne, Ewain
There are many deep and useful theorems relating Schramm-Loewner evolution (SLE$_\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
In this paper we provide a full characterization of linear integral operators acting from the space of functions of bounded Jordan variation to the space of functions of bounded Schramm variation in terms of their generating kernels.
Comment: Th
Comment: Th
Externí odkaz:
http://arxiv.org/abs/2310.08918
Autor:
Małgorzata Łapa, Sebastian Latocha
Publikováno v:
Zeszyty Wiejskie, Vol 29, Pp 155-209 (2023)
Wiktor Schramm (1885–1958) was a scholar and educator born in Olchowa and living in Poznań. He was a professor at the University of Poznań, its pro-rector, as well as the founder (1919) and head of the Department of Agricultural Economics (initia
Externí odkaz:
https://doaj.org/article/a8062d41003c46e58296783edb01840c
Akademický článek
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Quantum ergodicity on the Bruhat-Tits building for $\text{PGL}(3, F)$ in the Benjamini-Schramm limit
Autor:
Peterson, Carsten
We study joint eigenfunctions of the spherical Hecke algebra acting on $L^2(\Gamma_n \backslash G / K)$ where $G = \text{PGL}(3, F)$ with $F$ a non-archimedean local field of arbitrary characteristic, $K = \text{PGL}(3, O)$ with $O$ the ring of integ
Externí odkaz:
http://arxiv.org/abs/2304.08641
We consider the Schramm-Loewner evolution (SLE$_\kappa$) for $\kappa \in (4,8)$, which is the regime that the curve is self-intersecting but not space-filling. We let ${\mathcal K}$ be the set of $\kappa \in (4,8)$ for which the adjacency graph of co
Externí odkaz:
http://arxiv.org/abs/2302.10857