Results 71 to 80 of about 14,361 (264)

A second order SDE for the Langevin process reflected at a completely inelastic boundary [PDF]

, 2006
It was shown recently that a Langevin process can be reflected at an energy absorbing boundary. Here, we establish that the law of this reflecting process can be characterized as the unique weak solution to a certain second order stochastic differential ...
Bertoin, Jean
core   +2 more sources

Stochastic Langevin Differential Inclusions with Applications to Machine Learning

, 2022
Stochastic differential equations of Langevin-diffusion form have received significant attention, thanks to their foundational role in both Bayesian sampling algorithms and optimization in machine learning. In the latter, they serve as a conceptual model of the stochastic gradient flow in training over-parameterized models.
Difonzo, Fabio V., Kungurtsev, Vyacheslav, Marecek, Jakub   +2 more
openaire   +2 more sources

Lithium Intercalation in the Anisotropic Van Der Waals Semiconductor CrSBr

Advanced Functional Materials, EarlyView.
We report the lithium intercalation in the layered van der Waals crystal CrSBr, revealing strongly anisotropic ion‐migration dynamics. Optical and electrical characterization of exfoliated CrSBr shows lithium diffusion coefficients that differ by more than an order of magnitude along a‐ and b‐directions, consistent with molecular dynamics simulations ...
Kseniia Mosina, Aljoscha Söll, Jiří Šturala, Martin Veselý, Petr Levinsky, Ondřej Kaman, Florian Dirnberger, Giuliana Materzanini, Nicola Marzari, Gian‐Marco Rignanese, Borna Radatović, Vlastimil Mazánek, David Sedmidubský, Zdeněk Sofer   +13 more
wiley   +1 more source

Multi-valued, singular stochastic evolution inclusions

, 2013
We provide an abstract variational existence and uniqueness result for multi-valued, monotone, non-coercive stochastic evolution inclusions in Hilbert spaces with general additive and Wiener multiplicative noise.
Attouch, Attouch, Barbu, Barbu, Barbu, Barbu, Barbu, Barbu, Barbu, Barbu, Barbu, Barbu, Barbu, Barbu, Barbu, Bensoussan, Berryman, Beyn, Bian, Borwein, Bruck, Brézis, Chang, Ciotir, Ciotir, Ciotir, Crauel, Da Prato, Es-Sarhir, Es-Sarhir, Fukushima, Gess, Gess, Giga, Gyöngy, Hu, Hu, Kawohl, Kim, Komorowski, Krylov, Ladyženskaja, Lichnewsky, Liu, Liu, Liu, Maligranda, Moser, Nagai, Papageorgiou, Papageorgiou, Pardoux, Parthasarathy, Peszat, Phelps, Pratt, Prévôt, Rao, Reed, Ren, Rockafellar, Rudin, Röckner, Răşcanu, Showalter, Stephan, Vázquez, Wang, Wang, Wang, Zhou, Zygmunt   +71 more
core   +1 more source

Zwitterionic Self‐Assembled Monolayer for Simultaneous Noise Suppression and Hole Extraction in High‐Performance Near‐Infrared Organic Photodetectors

Advanced Functional Materials, EarlyView.
This study presents a new hole transporting material (HTM) mechanism for self‐assembled monolayers in near‐infrared organic photodetectors. The formation of zwitterions induces a strong electric field that significantly increases the work function of HTM‐coated indium tin oxide substrates. The devices exhibit low dark current and noise, along with high
Jiyoung Shin, Gyeong Min Lee, Juyeon Shin, Jaewoong Kim, Tae Hyuk Kim, Do Yeon Kim, Myeong In Kim, Kyeounghak Kim, Jae Won Shim, In Hwan Jung   +9 more
wiley   +1 more source

Stochastic Approximations and Differential Inclusions

, 2003
The dynamical systems approach to stochastic approximation is generalized to the case where the mean differential equation is replaced by a differential inclusion. The limit set theorem of Bena\"{\i}m and Hirsch is extended to this situation.
Benaïm, Michel, Hofbauer, Josef, Sorin, Sylvain   +2 more
core   +1 more source

Existence of solutions for second-order differential inclusions involving proximal normal cones [PDF]

, 2010
In this work, we prove global existence of solutions for second order differential problems in a general framework. More precisely, we consider second order differential inclusions involving proximal normal cone to a set-valued map.
Bernicot, Frederic, Venel, Juliette
core  

A numerical approach related to defect-type theories for some weakly random problems in homogenization

, 2010
We present in this paper an approach for computing the homogenized behavior of a medium that is a small random perturbation of a periodic reference material. The random perturbation we consider is, in a sense made precise in our work, a rare event at the
Anantharaman, Arnaud, Bris, Claude Le
core   +3 more sources

High Entropy Wide‐Bandgap Borates with Broadband Luminescence and Large Nonlinear Optical properties

Advanced Functional Materials, EarlyView.
High‐entropy rare‐earth borates exhibit excellent nonlinear optical and broadband luminescence properties arising from multi‐component doping, chemical disorder, increased configurational entropy, and increased lattice and electronic anharmonicity. This formulation enabled us to obtain a large, environmentally stable single crystal with 3X higher laser‐
Saugata Sarker, Yu Wang, Yongwen Sun, Caeli Benyacko, Saeed S.I. Almishal, Tao Zhou, Zhiyu Zhang, Jadupati Nag, Himirkanti Sarkar, Jeffrey Shallenberger, Hemant Yennawar, Yang Yang, Jon‐Paul Maria, Zhiqiang Mao, Venkatraman Gopalan   +14 more
wiley   +1 more source

Hydrodynamic Collective Effects of Active Protein Machines in Solution and Lipid Bilayers

, 2015
The cytoplasm and biomembranes in biological cells contain large numbers of proteins that cyclically change their shapes. They are molecular machines that can function as molecular motors or carry out many other tasks in the cell.
Kapral, Raymond, Mikhailov, Alexander
core   +1 more source