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pro vyhledávání: '"Sheung A"'
In this article, from the viewpoint of control theory, we discuss the relationships among the commonly used monotonicity conditions that ensure the well-posedness of the solutions arising from problems of mean field games (MFGs) and mean field type c
Externí odkaz:
http://arxiv.org/abs/2412.05189
In this paper, we study a class of degenerate mean field games (MFGs) with state-distribution dependent and unbounded functional diffusion coefficients. With a probabilistic method, we study the well-posedness of the forward-backward stochastic diffe
Externí odkaz:
http://arxiv.org/abs/2410.12404
Autor:
McCuskey, Dylan P., Achiriloaie, Raisa E., Benjamin, Claire, Kushen, Jemma, Blacklow, Isaac, Mnfy, Omar, Ross, Jennifer L., Robertson-Anderson, Rae M., Sheung, Janet Y.
The transport of macromolecules, such as DNA, through the cytoskeleton is critical to wide-ranging cellular processes from cytoplasmic streaming to transcription. The rigidity and steric hindrances imparted by the network of filaments comprising the
Externí odkaz:
http://arxiv.org/abs/2409.00569
We construct deterministic particle solutions for linear and fast diffusion equations using a nonlocal approximation. We exploit the $2$-Wasserstein gradient flow structure of the equations in order to obtain the nonlocal approximating PDEs by regula
Externí odkaz:
http://arxiv.org/abs/2408.02345
This paper addresses congested transport, which can be described, at macroscopic scales, by a continuity equation with a pressure variable generated from the hard-congestion constraint (maximum value of the density). The main goal of the paper is to
Externí odkaz:
http://arxiv.org/abs/2405.15714
We extend the work on optimal investment and consumption of a population considered in [2] to a general stochastic setting over a finite time horizon. We incorporate the Cobb-Douglas production function in the capital dynamics while the consumption u
Externí odkaz:
http://arxiv.org/abs/2402.10768
We prove the global-in-time well-posedness for a broad class of mean field game problems, which is beyond the special linear-quadratic setting, as long as the mean field sensitivity is not too large. Through the stochastic maximum principle, we adopt
Externí odkaz:
http://arxiv.org/abs/2402.01639
This paper reviews (and expands) some recent results on the modeling of aggregation-diffusion phenomena at various scales, focusing on the emergence of collective dynamics as a result of the competition between attractive and repulsive phenomena - es
Externí odkaz:
http://arxiv.org/abs/2401.01840
We investigate the problem of fairly dividing a divisible heterogeneous resource, also known as a cake, among a set of agents who may have different entitlements. We characterize the existence of a connected strongly-proportional allocation -- one in
Externí odkaz:
http://arxiv.org/abs/2312.15326
Publikováno v:
Algorithmica, 86(12):3653-3683 (2024)
In the allocation of indivisible goods, a prominent fairness notion is envy-freeness up to one good (EF1). We initiate the study of reachability problems in fair division by investigating the problem of whether one EF1 allocation can be reached from
Externí odkaz:
http://arxiv.org/abs/2312.07241