Zobrazeno 1 - 10
of 35 562
pro vyhledávání: '"Alexander, R A"'
We consider controlling the paths of a spectrally negative L\'evy process by two means: the subtraction of `taxes' when the process is at an all-time maximum, and the addition of `bailouts' which keep the value of the process above zero. We solve the
Externí odkaz:
http://arxiv.org/abs/2408.16385
Autor:
Valei, Zahra, Wamsler, Karolina, Parker, Alex J., Obara, Therese A., Klotz, Alexander R., Shendruk, Tyler N.
Polymers are a primary building block in many biomaterials, often interacting with anisotropic backgrounds. While previous studies have considered polymer dynamics within nematic solvents, rarely are the the effects of anisotropic viscosity and polym
Externí odkaz:
http://arxiv.org/abs/2408.06533
A growing self-avoiding walk (GSAW) is a walk on a graph that is directed, does not visit the same vertex twice, and has a trapped endpoint. We show that the generating function enumerating GSAWs on a half-infinite strip of finite height is rational,
Externí odkaz:
http://arxiv.org/abs/2407.18205
Autor:
Fiotto-Kaufman, Jaden, Loftus, Alexander R, Todd, Eric, Brinkmann, Jannik, Juang, Caden, Pal, Koyena, Rager, Can, Mueller, Aaron, Marks, Samuel, Sharma, Arnab Sen, Lucchetti, Francesca, Ripa, Michael, Belfki, Adam, Prakash, Nikhil, Multani, Sumeet, Brodley, Carla, Guha, Arjun, Bell, Jonathan, Wallace, Byron, Bau, David
The enormous scale of state-of-the-art foundation models has limited their accessibility to scientists, because customized experiments at large model sizes require costly hardware and complex engineering that is impractical for most researchers. To a
Externí odkaz:
http://arxiv.org/abs/2407.14561
Autor:
Pelletier, Alexander R., Ramirez, Joseph, Adam, Irsyad, Sankar, Simha, Yan, Yu, Wang, Ding, Steinecke, Dylan, Wang, Wei, Ping, Peipei
The vast amount of biomedical information available today presents a significant challenge for investigators seeking to digest, process, and understand these findings effectively. Large Language Models (LLMs) have emerged as powerful tools to navigat
Externí odkaz:
http://arxiv.org/abs/2407.12888
LLMs and RAG systems are now capable of handling millions of input tokens or more. However, evaluating the output quality of such systems on long-context tasks remains challenging, as tasks like Needle-in-a-Haystack lack complexity. In this work, we
Externí odkaz:
http://arxiv.org/abs/2407.01370
Motivated by the observation of positive Gaussian curvature in kinetoplast DNA networks, we consider the effect of linking chirality in square lattice molecular chainmail networks using Langevin dynamics simulations and constrained gradient optimizat
Externí odkaz:
http://arxiv.org/abs/2406.13590
Fingerprint analysis is a ubiquitous tool for pattern recognition with applications spanning from geolocation and DNA analysis to facial recognition and forensic identification. Central to its utility is the ability to provide accurate identification
Externí odkaz:
http://arxiv.org/abs/2406.13019
Autor:
Klotz, Alexander R.
We develop a minimal system to study the stochastic formation of Borromean links within topologically entangled networks without requiring the use of knot invariants. Borromean linkages may form in entangled solutions of open polymer chains or in Oly
Externí odkaz:
http://arxiv.org/abs/2405.20874
We obtain rigorous large time asymptotics for the Landau-Lifshitz equation in the soliton free case by extending the nonlinear steepest descent method to genus 1 surfaces. The methods presented in this paper pave the way to rigorous analysis of other
Externí odkaz:
http://arxiv.org/abs/2405.17662