Harnack inequality for harmonic functions relative to a nonlinear p-homogeneous Riemannian Dirichlet form

Autor: Marco Biroli, Paola Vernole

Publikováno v: Le Matematiche, Vol 62, Iss 2, Pp 53-67 (2007)

We consider a measure valued map α(u) defined on D where D is a subspace of L^p(X,m) with X a locally compact Hausdorff topological space with a distance under which it is a space of homogeneous type. Under assumptions of convexity, Gateaux differe

Externí odkaz: https://doaj.org/article/0887c5651f534af88bd5dc3f901e2559

Oscillation estimates relative to p-homogeneous forms and Kato measures data

Autor: Marco Biroli, Silvana Marchi

Publikováno v: Le Matematiche, Vol 61, Iss 2, Pp 335-361 (2006)

We state pointwise estimate for the positive subsolutions associated to a p-homogeneous form and nonnegative Radon measures data. As a by-product we establish an oscillation’s estimate for the solutions relative to Kato measures data.

Externí odkaz: https://doaj.org/article/06d75c13d1f341d896c723260de58562

Time, Privacy, Robustness, Accuracy: Trade-Offs for the Open Vote Network Protocol

Autor: Fatima-Ezzahra El Orche, Rémi Géraud-Stewart, Peter B. Rønne, Gergei Bana, David Naccache, Peter Y. A. Ryan, Marco Biroli, Megi Dervishi, Hugo Waltsburger

Publikováno v: Lecture Notes in Computer Science
International Joint Conference on Electronic Voting 2022
International Joint Conference on Electronic Voting 2022, Oct 2022, Bregenz, Austria. pp.19-35, ⟨10.1007/978-3-031-15911-4_2⟩
Electronic Voting ISBN: 9783031159107

The open vote network ( [10]) is a secure two-round multi-party protocol facilitating the computation of a sum of integer votes without revealing their individual values. This is done without a central authority trusted for privacy, and thus allows d

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e3d3be7823dd1f04c9ba16f850f034d7
https://cnrs.hal.science/hal-03913581

Extreme statistics and spacing distribution in a Brownian gas correlated by resetting

Autor: Marco Biroli, Hernan Larralde, Satya N. Majumdar, Grégory Schehr

We study a one-dimensional gas of $N$ Brownian particles that diffuse independently, but are {\it simultaneously} reset to the origin at a constant rate $r$. The system approaches a non-equilibrium stationary state (NESS) with long-range interactions

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::64c6ba895d6fd921c49b48da99528896

Subelliptic Hamilton-Jacobi equations: the coercive evolution case

Autor: Marco Biroli

Publikováno v: Applicable Analysis. 92:1-14

We prove the existence and uniqueness of a viscosity (Lipschitz) solution relative to bounded uniformly continuous (Lipschitz) initial data for a subelliptic evolution Hamilton–Jacobi equation with a coercive Hamiltonian. Moreover we also prove a c

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::7fa332e0f6c5f60992072b991fca5d75
https://doi.org/10.1080/00036811.2010.530257