Zobrazeno 1 - 10
of 300
pro vyhledávání: '"Banerjee, Sayan"'
Fueled by the influence of real-world networks both in science and society, numerous mathematical models have been developed to understand the structure and evolution of these systems, particularly in a temporal context. Recent advancements in fields
Externí odkaz:
http://arxiv.org/abs/2409.10307
We provide finite-particle convergence rates for the Stein Variational Gradient Descent (SVGD) algorithm in the Kernelized Stein Discrepancy ($\mathsf{KSD}$) and Wasserstein-2 metrics. Our key insight is that the time derivative of the relative entro
Externí odkaz:
http://arxiv.org/abs/2409.08469
Driven by the explosion of data and the impact of real-world networks, a wide array of mathematical models have been proposed to understand the structure and evolution of such systems, especially in the temporal context. Recent advances in areas such
Externí odkaz:
http://arxiv.org/abs/2409.06048
We study a model for flocking given by a $n$-particle system under which each particle jumps forward by a random amount, independently sampled from a given distribution $\theta$, with rate given by a non-increasing function $w$ of its signed distance
Externí odkaz:
http://arxiv.org/abs/2404.13117
Motivated in part by understanding average case analysis of fundamental algorithms in computer science, and in part by the wide array of network data available over the last decade, a variety of random graph models, with corresponding processes on th
Externí odkaz:
http://arxiv.org/abs/2403.01544
Autor:
Banerjee, Sayan, Scheurer, Mathias S.
Publikováno v:
Phys. Rev. B 110, 024503 (2024)
Non-reciprocal superconductivity, also known as the superconducting diode effect, has been extensively studied in the presence of a magnetic field or some form of ferromagnetic order breaking time-reversal symmetry. We here show that another class of
Externí odkaz:
http://arxiv.org/abs/2402.14071
The infinite Atlas model describes the evolution of a countable collection of Brownian particles on the real line, where the lowest particle is given a drift of $\gamma \in [0,\infty)$. We study equilibrium fluctuations for the Atlas model when the s
Externí odkaz:
http://arxiv.org/abs/2310.04545
While many piezoelectric materials are known, there is still great potential to improve on the figures of merit of existing materials through compositional doping, forming solid solutions. Specifically, it has been shown that doping and alloying wurt
Externí odkaz:
http://arxiv.org/abs/2309.03398
We analyze dynamic random network models where younger vertices connect to older ones with probabilities proportional to their degrees as well as a propensity kernel governed by their attribute types. Using stochastic approximation techniques we show
Externí odkaz:
http://arxiv.org/abs/2304.08565
Autor:
Banerjee, Sayan, Scheurer, Mathias S.
Publikováno v:
Phys. Rev. Lett. 132, 046003 (2024)
The superconducting diode effect refers to an asymmetry in the critical supercurrent $J_c(\hat{n})$ along opposite directions, $J_c(\hat{n})\neq J_c(-\hat{n})$. While the basic symmetry requirements for this effect are known, it is, for junction-free
Externí odkaz:
http://arxiv.org/abs/2304.03303