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28 papers · 1 filter
Limit Cycle and Conserved Dynamics
X. -M. Zhu, L. Yin, P. Ao
We demonstrate that a potential coexists with limit cycle. Here the potential determines the final distribution of population. Our demonstration consists of three steps: We first s…
Renormalization of the singular attractive potential
Mary Alberg, Michel Bawin, Fabian Brau
We study the radial Schrödinger equation for a particle of mass in the field of a singular attractive potential with particular emphasis on the bound states problem…
Homological Transcendence Degree
Amnon Yekutieli, James J. Zhang
Let D be a division algebra over a base field k. The homological transcendence degree of D, denoted by Htr D, is defined to be the injective dimension of the enveloping algebra of…
The phase-space density distribution of dark matter halos
Liliya L. R. Williams, Crystal Austin, Eric Barnes +2
High resolution N-body simulations have all but converged on a common empirical form for the shape of the density profiles of halos, but the full understanding of the underlying ph…
Holomorphic one-forms on varieties of general type
Christopher D. Hacon, Sándor J. Kovács
It has been conjectured that varieties of general type do not admit nowhere vanishing holomorphic one-forms. We confirm this conjecture for smooth minimal varieties and for varieti…
Absolute continuity of symmetric Markov processes
Z. -Q. Chen, P. J. Fitzsimmons, M. Takeda +2
We study Girsanov's theorem in the context of symmetric Markov processes, extending earlier work of Fukushima-Takeda and Fitzsimmons on Girsanov transformations of ``gradient type.…