Centro de Ciencias Matemáticas

output

20042020

most citedCovariance in models of loop quantum gravity: Spherical symmetry

109 citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

collaborating institutions

98 papers

math.NT2020★ 2 cited

Truncated $t$ -adic symmetric multiple zeta values and double shuffle relations

Masataka Ono, Shin-ichiro Seki, Shuji Yamamoto

We study a refinement of the symmetric multiple zeta value, called the $t$ -adic symmetric multiple zeta value, by considering its finite truncation. More precisely, two kinds of re…

math.QA2020★ 9 cited

Holomorphic Relative Hopf Modules over the Irreducible Quantum Flag Manifolds

Fredy Díaz García, Andrey Krutov, Réamonn Ó Buachalla +2

We construct covariant $q$ -deformed holomorphic structures for all finitely-generated relative Hopf modules over the irreducible quantum flag manifolds endowed with their Heckenber…

gr-qc2020★ 28 cited

Emergence of classical behavior in the early universe

Abhay Ashtekar, Alejandro Corichi, Aruna Kesavan

We investigate three issues that have been discussed in the context of inflation: Fading of the importance of quantum non-commutativity; the phenomenon of quantum squeezing; and th…

math.GT2020★ 7 cited

Loxodromic elements in big mapping class groups via the Hooper-Thurston-Veech construction

Israel Morales, Ferran Valdez

Let $S$ be an infinite-type surface and $p \in S$ . We show that the Thurston-Veech construction for pseudo-Anosov elements, adapted for infinite-type surfaces, produces infinitely m…

gr-qc2020★ 4 cited

Canonical analysis of field theories in the presence of boundaries: Maxwell+Pontryagin

Alejandro Corichi, Tatjana Vukašinac

We study the canonical Hamiltonian analysis of gauge theories in the presence of boundaries. While the implementation of Dirac's program in the presence of boundaries, as put forwa…

math.NT2020★ 4 cited

On the exponential Diophantine equation related to powers of two consecutive terms of Lucas sequences

Mahadi Ddamulira, Florian Luca

Let $r \geq 1$ be an integer and $U := (U_{n})_{n \geq 0}$ be the Lucas sequence given by $U_{0} = 0$ , $U_{1} = 1,$ and $U_{n + 2} = r U_{n + 1} + U_{n}$ , for all $n \geq 0$ . In this paper, we show…

math.CO2020★ 2 cited

Combinatorial Game Distributions of Steiner Systems

Yuki Irie

The $P$ -position sets of some combinatorial games have special combinatorial structures. For example, the $P$ -position set of the hexad game, first investigated…

cond-mat.soft2019★ 12 cited

Critical scaling of diffusion coefficients and size of rigid clusters of soft athermal particles under shear

Kuniyasu Saitoh, Takeshi Kawasaki

We numerically investigate the self-diffusion coefficient and correlation length of the rigid clusters (i.e., the typical size of the collective motions) in sheared soft athermal p…

hep-th2019★ 11 cited

Landau-Khalatnikov-Fradkin Transformations, Nielsen Identities, Their Equivalence and Implications for QCD

Tim De Meerleer, David Dudal, Silvio Paolo Sorella +2

The Landau-Khalatnikov-Fradkin transformations (LKFTs) represent an important tool for probing the gauge dependence of the correlation functions within the class of linear covarian…

math.DG2019★ 13 cited

The behavior of harmonic functions at singular points of $RCD$ spaces

Guido De Philippis, Jesús Núñez-Zimbrón

In this note we investigate the behavior of harmonic functions at singular points of $RCD (K, N)$ spaces. In particular we show that their gradient vanishes at all points wh…

math.GT2019★ 1 cited

Finite rigid subgraphs of pants graphs

Jesús Hernández Hernández, Christopher J. Leininger, Rasimate Maungchang

Let $S_{g, n}$ be an orientable surface of genus $g$ with $n$ punctures. We identify a finite rigid subgraph $X_{g, n}$ of the pants graph $P (S_{g, n})$ , that is, a subgraph…

math.LO2019★ 12 cited

Simultaneously vanishing higher derived limits

Jeffrey Bergfalk, Chris Lambie-Hanson

In 1988, Sibe Mardešić and Andrei Prasolov isolated an inverse system $A$ with the property that the additivity of strong homology on any class of spaces which includes th…

gr-qc2019★ 4 cited

Macroscopic observables from the comparison of local reference systems

Claudio Meneses, Jose A. Zapata

Parallel transport as dictated by a gauge field determines a collection of local reference systems. Comparing local reference systems in overlapping regions leads to an ensemble of…

math.NT2019★ 15 cited

On the problem of Pillai with $k$ --generalized Fibonacci numbers and powers of $3$

Mahadi Ddamulira, Florian Luca

For an integer $k \geq 2$ , let ${F_{n}^{(k)}}_{n \geq 2 - k}$ be the $k$ --generalized Fibonacci sequence which starts with $0, \dots, 0, 1$ (a total of $k$ terms) and for which each t…

hep-th2019

Non-Abelian gauge theories invariant under diffeomorphisms

Olivera Miskovic, Tatjana Vukašinac

We discuss diffeomorphism and gauge invariant theories in three dimensions motivated by the fact that some models of interest do not have a suitable action description yet. The con…

quant-ph2019

Born rule and Schrödinger equation from first principles

Robert Oeckl

A concise review of the derivation of the Born rule and Schrödinger equation from first principles is provided. The starting point is a formalization of fundamental notions of meas…

quant-ph2019★ 5 cited

Applications of the worldline Monte Carlo formalism in quantum mechanics

James P. Edwards, Urs Gerber, Christian Schubert +3

In recent years efficient algorithms have been developed for the numerical computation of relativistic single-particle path integrals in quantum field theory. Here, we adapt this "…

math-ph2018★ 12 cited

Complex Structures for Klein-Gordon Theory on Globally Hyperbolic Spacetimes

Albert Much, Robert Oeckl

We develop a rigorous method to parametrize complex structures for Klein-Gordon theory in globally hyperbolic spacetimes that satisfy a completeness condition. The complex structur…

math.NT2018

Double exponential sums and congruences with intervals and exponential functions modulo a prime

M. Z. Garaev

Let $p$ be a large prime number and $g$ be any integer of multiplicative order $T$ modulo $p$ . We obtain a new estimate of the double exponential sum $$ S=\sum_{n\in \mathcal{N}}\l…

math.GN2018

Countable Dense Homogeneity and the Double Arrow Space

Rodrigo Hernández-Gutiérrez

Let $A$ denote the Alexandroff-Urysohn double arrow space. We prove the following results: (a) $A \times^{ω} 2$ is not countable dense homogeneous; (b) ${}^ω{\mat…

math.GN2018

Non-meager $P$ -filters are Countable Dense Homogeneous

Rodrigo Hernández-Gutiérrez, Michael Hrušák

We prove that if $F$ is a non-meager $P$ -filter, then both $F$ and $^{ω} F$ are countable dense homogeneous spaces.

math.GN2018

Spaces of Remote Points

Rodrigo Hernández-Gutiérrez, Michael Hrušák, Angel Tamariz-Mascarúa

Given a Tychonoff space $X$ , let $ϱ (X)$ be the set of remote points of $X$ . We view $ϱ (X)$ as a topological space. In this paper we assume that $X$ is metrizable and as…

hep-th2018★ 9 cited

Hamiltonian analysis of a topological theory in the presence of boundaries

Alejandro Corichi, Tatjana Vukašinac

We perform the canonical Hamiltonian analysis of a topological gauge theory, that can be seen both as a theory defined on a four dimensional spacetime region with boundaries --the…

math.AG2018★ 15 cited

Toric degenerations of cluster varieties and cluster duality

Lara Bossinger, Bosco Frías-Medina, Timothy Magee +1

We introduce the notion of a $Y$ -pattern with coefficients and its geometric counterpart: a cluster $X$ -variety with coefficients. We use these constructions to build a f…

Truncated t-adic symmetric multiple zeta values and double shuffle relations

Holomorphic Relative Hopf Modules over the Irreducible Quantum Flag Manifolds

Emergence of classical behavior in the early universe

Loxodromic elements in big mapping class groups via the Hooper-Thurston-Veech construction

Canonical analysis of field theories in the presence of boundaries: Maxwell+Pontryagin

On the exponential Diophantine equation related to powers of two consecutive terms of Lucas sequences

Combinatorial Game Distributions of Steiner Systems

Critical scaling of diffusion coefficients and size of rigid clusters of soft athermal particles under shear

Landau-Khalatnikov-Fradkin Transformations, Nielsen Identities, Their Equivalence and Implications for QCD

The behavior of harmonic functions at singular points of RCD spaces

Finite rigid subgraphs of pants graphs

Simultaneously vanishing higher derived limits

Macroscopic observables from the comparison of local reference systems

On the problem of Pillai with k--generalized Fibonacci numbers and powers of 3

Non-Abelian gauge theories invariant under diffeomorphisms

Born rule and Schrödinger equation from first principles

Applications of the worldline Monte Carlo formalism in quantum mechanics

Complex Structures for Klein-Gordon Theory on Globally Hyperbolic Spacetimes

Double exponential sums and congruences with intervals and exponential functions modulo a prime

Countable Dense Homogeneity and the Double Arrow Space

Non-meager P-filters are Countable Dense Homogeneous

Spaces of Remote Points

Hamiltonian analysis of a topological theory in the presence of boundaries

Toric degenerations of cluster varieties and cluster duality

Truncated $t$ -adic symmetric multiple zeta values and double shuffle relations

The behavior of harmonic functions at singular points of $RCD$ spaces

On the problem of Pillai with $k$ --generalized Fibonacci numbers and powers of $3$

Non-meager $P$ -filters are Countable Dense Homogeneous