Zobrazeno 1 - 10
of 25
pro vyhledávání: '"Caraceni, Alessandra"'
In 10.1093/imrn/rnac258, the authors conjecture a combinatorial formula for the expressions $\Xi e_\alpha \rvert_{t=1}$, known as Symmetric Theta Trees Conjecture, in terms of tiered trees with an inversion statistic. In 10.1017/fms.2024.14, the auth
Externí odkaz:
http://arxiv.org/abs/2407.02368
We provide "growth schemes" for inductively generating uniform random $2p$-angulations of the sphere with $n$ faces, as well as uniform random simple triangulations of the sphere with $2n$ faces. In the case of $2p$-angulations, we provide a way to i
Externí odkaz:
http://arxiv.org/abs/2110.14575
The class of ranked tree-child networks, tree-child networks arising from an evolution process with a fixed embedding into the plane, has recently been introduced by Bienvenu, Lambert, and Steel. These authors derived counting results for this class.
Externí odkaz:
http://arxiv.org/abs/2105.10137
Autor:
Caraceni, Alessandra
We consider a natural local dynamic on the set of all rooted planar maps with $n$ edges that is in some sense analogous to "edge flip" Markov chains, which have been considered before on a variety of combinatorial structures (triangulations of the $n
Externí odkaz:
http://arxiv.org/abs/2001.04166
We establish the first polynomial upper bound for the mixing time of random edge flips on rooted quadrangulations: we show that the spectral gap of the edge flip Markov chain on quadrangulations with $n$ faces admits, up to constants, an upper bound
Externí odkaz:
http://arxiv.org/abs/1809.05092
Autor:
Caraceni, Alessandra, Curien, Nicolas
We study an annealed model of Uniform Infinite Planar Quadrangulation (UIPQ) with an infinite two-sided self-avoiding walk (SAW), which can also be described as the result of glueing together two independent uniform infinite quadrangulations of the h
Externí odkaz:
http://arxiv.org/abs/1609.00245
Autor:
Caraceni, Alessandra, Curien, Nicolas
We give a new construction of the uniform infinite half-planar quadrangulation with a general boundary (or UIHPQ), analogous to the construction of the UIPQ presented by Chassaing and Durhuus, which allows us to perform a detailed study of its geomet
Externí odkaz:
http://arxiv.org/abs/1508.00133
Autor:
Caraceni, Alessandra
A planar map is outerplanar if all its vertices belong to the same face. We show that random uniform outerplanar maps with $n$ vertices suitably rescaled by a factor $1/ \sqrt{n}$ converge in the Gromov-Hausdorff sense to $\displaystyle{\frac{7 \sqrt
Externí odkaz:
http://arxiv.org/abs/1405.1971
We provide "growth schemes" for inductively generating uniform random $2p$-angulations of the sphere with $n$ faces, as well as uniform random simple triangulations of the sphere with $2n$ faces. In the case of $2p$-angulations, we provide a way to i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a031289de84aec495f2ca9fab8ea4588
https://hdl.handle.net/11384/131844
https://hdl.handle.net/11384/131844
Autor:
Caraceni, Alessandra1 (AUTHOR) alessandra.caraceni@stats.ox.ac.uk, Stauffer, Alexandre1 (AUTHOR)
Publikováno v:
Probability Theory & Related Fields. Feb2020, Vol. 176 Issue 1/2, p35-76. 42p. 17 Diagrams, 1 Graph.
