Zobrazeno 1 - 10
of 11
pro vyhledávání: '"Hugo Panzo"'
Publikováno v:
Potential Analysis.
The Hot Spots constant for bounded smooth domains was recently introduced by Steinerberger (2021) as a means to control the global extrema of the first nontrivial eigenfunction of the Neumann Laplacian by its boundary extrema. We generalize the Hot S
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d5dbec85fc0b23b3e47282e9304b95a1
https://doi.org/10.1007/s11118-022-10001-4
https://doi.org/10.1007/s11118-022-10001-4
Autor:
Phanuel Mariano, Hugo Panzo
Publikováno v:
Random Matrices: Theory and Applications. 11
We prove a central limit theorem (CLT) for the product of a class of random singular matrices related to a random Hill’s equation studied by Adams–Bloch–Lagarias. The CLT features an explicit formula for the variance in terms of the distributio
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https://explore.openaire.eu/search/publication?articleId=doi_________::d83ddf8c55a0b8c0257c28b210256c01
https://doi.org/10.1142/s2010326322500186
https://doi.org/10.1142/s2010326322500186
Autor:
Hugo Panzo
We show that the last zero before time $t$ of a recurrent Bessel process with drift starting at $0$ has the same distribution as the product of an independent right censored exponential random variable and a beta random variable. This extends a recen
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3806c04f6a74e54f828f1d75e691b596
http://arxiv.org/abs/2010.00579
http://arxiv.org/abs/2010.00579
Autor:
Hugo Panzo, Phanuel Mariano
Publikováno v:
Electron. Commun. Probab.
The conformal Skorokhod embedding problem (CSEP) is a planar variant of the classical problem where the solution is now a simply connected domain $D\subset\mathbb{C}$ whose exit time embeds a given probability distribution $\mu$ by projecting the sto
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We consider the discrete-time voter model on complete bipartite graphs and study the quasi-stationary distribution (QSD) for the model as the size of one of the partitions tends to infinity while the other partition remains fixed. We show that the QS
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The Central Limit Theorem (CLT) for additive functionals of Markov chains is a well known result with a long history. In this paper we present applications to two finite-memory versions of the Elephant Random Walk, solving a problem from arXiv:1812.0
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2ef10378b72d9c2e6667e1d46cd69be0
Autor:
Hugo Panzo
Publikováno v:
Lecture Notes in Mathematics ISBN: 9783030285340
We study a scaled version of a two-parameter Brownian penalization model introduced by Roynette-Vallois-Yor (Period Math Hungar 50:247–280, 2005). The original model penalizes Brownian motion with drift \(h\in \mathbb {R}\) by the weight process \(
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bae0c315b1c4c998d6618a5de760414c
https://doi.org/10.1007/978-3-030-28535-7_12
https://doi.org/10.1007/978-3-030-28535-7_12
We consider three matrix models of order 2 with one random entry $\epsilon$ and the other three entries being deterministic. In the first model, we let $\epsilon\sim\textrm{Bernoulli}\left(\frac{1}{2}\right)$. For this model we develop a new techniqu
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http://arxiv.org/abs/1809.02294
http://arxiv.org/abs/1809.02294
Autor:
Hugo Panzo, Iddo Ben-Ari
We study a model of continuous-time nearest-neighbor random walk on $\mathbb{Z}^d$ penalized by its occupation time at the origin, also known as a homopolymer. For a fixed real parameter $\beta$ and time $t>0$, we consider the probability measure on
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http://arxiv.org/abs/1803.09335
http://arxiv.org/abs/1803.09335
We prove Barlow--Bass type resistance estimates for two random walks associated with repeated barycentric subdivisions of a triangle. If the random walk jumps between the centers of triangles in the subdivision that have common sides, the resistance
Externí odkaz:
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http://arxiv.org/abs/1505.03161
http://arxiv.org/abs/1505.03161