Zobrazeno 1 - 10
of 54
pro vyhledávání: '"Goswami, Subhajit"'
Autor:
Duminil-Copin, Hugo, Goswami, Subhajit, Rodriguez, Pierre-François, Severo, Franco, Teixeira, Augusto
We consider a percolation model, the vacant set $\mathcal{V}^u$ of random interlacements on $\mathbb{Z}^d$, $d \geq 3$, in the regime of parameters $u>0$ in which it is strongly percolative. By definition, such values of $u$ pinpoint a robust subset
Externí odkaz:
http://arxiv.org/abs/2308.07920
Autor:
Duminil-Copin, Hugo, Goswami, Subhajit, Rodriguez, Pierre-François, Severo, Franco, Teixeira, Augusto
We consider the set of points visited by the random walk on the discrete torus $(\mathbb{Z}/N\mathbb{Z})^d$, for $d \geq 3$, at times of order $uN^d$, for a parameter $u>0$ in the large-$N$ limit. We prove that the vacant set left by the walk undergo
Externí odkaz:
http://arxiv.org/abs/2308.07919
Autor:
Duminil-Copin, Hugo, Goswami, Subhajit, Rodriguez, Pierre-François, Severo, Franco, Teixeira, Augusto
In this article, we consider the interlacement set $\mathcal{I}^u$ at level $u>0$ on $\mathbb{Z}^d$, $d \geq3$, and its finite range version $\mathcal{I}^{u,L}$ for $L >0$, given by the union of the ranges of a Poisson cloud of random walks on $\math
Externí odkaz:
http://arxiv.org/abs/2308.07303
We prove a central limit theorem for the Horvitz-Thompson estimator based on the Gram-Schmidt Walk (GSW) design, recently developed in Harshaw et al.(2022). In particular, we consider the version of the GSW design which uses randomized pivot order, t
Externí odkaz:
http://arxiv.org/abs/2305.12512
Autor:
Fan, Zherui, Goswami, Subhajit
The metric associated with the Liouville quantum gravity (LQG) surface has been constructed through a series of recent works and several properties of its associated geodesics have been studied. In the current article we confirm the folklore conjectu
Externí odkaz:
http://arxiv.org/abs/2205.00676
We consider the problem of estimating piecewise regular functions in an online setting, i.e., the data arrive sequentially and at any round our task is to predict the value of the true function at the next revealed point using the available data from
Externí odkaz:
http://arxiv.org/abs/2203.16587
Publikováno v:
Ann. Probab. 50(5): 1675-1724 (September 2022)
We consider the Gaussian free field $\varphi$ on $\mathbb{Z}^d$, for $d\geq3$, and give sharp bounds on the probability that the radius of a finite cluster in the excursion set $\{\varphi \geq h\}$ exceeds a large value $N$, for any height $h \neq h_
Externí odkaz:
http://arxiv.org/abs/2101.02200
Publikováno v:
Duke Math. J. 172 (2023), no. 5, 839--913
We consider upper level-sets of the Gaussian free field on $\mathbb Z^d$, for $d\geq 3$, above a given real-valued height parameter $h$. As $h$ varies, this defines a canonical percolation model with strong, algebraically decaying correlations. We pr
Externí odkaz:
http://arxiv.org/abs/2002.07735
In this paper, we consider coordinated control of feeder vehicles for first and last mode transportation. The model is macroscopic with volumes of demands and supplies along with flows of vehicles. We propose a one-shot problem for transportation of
Externí odkaz:
http://arxiv.org/abs/2001.01283
Publikováno v:
Ann. Statist. 49 (2021), no. 5, 2531--2551
Proposed by Donoho (1997), Dyadic CART is a nonparametric regression method which computes a globally optimal dyadic decision tree and fits piecewise constant functions in two dimensions. In this article we define and study Dyadic CART and a closely
Externí odkaz:
http://arxiv.org/abs/1911.11562