Zobrazeno 1 - 10
of 4 413
pro vyhledávání: '"Random geometry"'
Autor:
Castro, Alicia
This thesis is driven by a central question: "What can we learn from random geometries about the structure of quantum spacetime?" In Chapter 2, we provide a partial review of the mathematical foundation of this thesis, random geometry. In Chapter 3,
Externí odkaz:
http://arxiv.org/abs/2401.16248
Akademický článek
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Autor:
Wang, Yilin
The goal of this expository article is to explain how a fundamental functional on the space of Jordan curves arising from SLE - Loewner energy - is connected to a seemingly far apart subject: the K\"ahler geometry of universal Teichm\"uller space. We
Externí odkaz:
http://arxiv.org/abs/2308.05301
Publikováno v:
Phys. Rev. B 108, 064201 (2023)
We study the low-energy physics of the critical (2+1)-dimensional random transverse-field Ising model. The one-dimensional version of the model is a paradigmatic example of a system governed by an infinite-randomness fixed point, for which many resul
Externí odkaz:
http://arxiv.org/abs/2304.10564
Publikováno v:
In Soil Dynamics and Earthquake Engineering June 2024 181
Autor:
Budd, Timothy, Castro, Alicia
The search for scale-invariant random geometries is central to the Asymptotic Safety hypothesis for the Euclidean path integral in quantum gravity. In an attempt to uncover new universality classes of scale-invariant random geometries that go beyond
Externí odkaz:
http://arxiv.org/abs/2207.05355
Autor:
Tsallis, Constantino, Oliveira, Rute
Publikováno v:
Chaos, 2022
In the realm of Boltzmann-Gibbs statistical mechanics there are three well known isomorphic connections with random geometry, namely (i) the Kasteleyn-Fortuin theorem which connects the $\lambda \to 1$ limit of the $\lambda$-state Potts ferromagnet w
Externí odkaz:
http://arxiv.org/abs/2205.00998
We investigate the box-counting dimension of the image of a set $E \subset \mathbb{R}$ under a random multiplicative cascade function $f$. The corresponding result for Hausdorff dimension was established by Benjamini and Schramm in the context of ran
Externí odkaz:
http://arxiv.org/abs/2203.15315
Driven by B5G and 6G technologies, multi-network fusion is an indispensable tendency for future communications. In this paper, we focus on and analyze the \emph{security performance} (SP) of the \emph{satellite-terrestrial downlink transmission} (STD
Externí odkaz:
http://arxiv.org/abs/2112.14192
Publikováno v:
Entropy 2021, 23(7), 805
A phase transition in high-dimensional random geometry is analyzed as it arises in a variety of problems. A prominent example is the feasibility of a minimax problem that represents the extremal case of a class of financial risk measures, among them
Externí odkaz:
http://arxiv.org/abs/2105.04395