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pro vyhledávání: '"Tătaru P"'
We consider equivariant solutions for the Schr\"odinger Map equation in $2+1$ dimensions, with values into $\mathbb{S}^2$. Within each equivariance class $m \in \mathbb{Z}$ this admits a lowest energy nontrivial steady state $Q^m$, which extends to a
Externí odkaz:
http://arxiv.org/abs/2408.16973
Autor:
Tataru, Calin
We show that the category of partially ordered sets $\mathsf{Pos}$ is equivalent to the free conservative cocompletion of the category of finite non-empty totally ordered sets $\Delta$, which is also known as the simplex category.
Externí odkaz:
http://arxiv.org/abs/2404.12924
Autor:
Ifrim, Mihaela, Tataru, Daniel
In recent work the authors proposed a broad global well-posedness conjecture for cubic defocusing dispersive equations in one space dimension, and then proved this conjecture in two cases, namely for one dimensional semilinear and quasilinear Schr\"o
Externí odkaz:
http://arxiv.org/abs/2404.09970
We present the proof assistant homotopy.io for working with finitely-presented semistrict higher categories. The tool runs in the browser with a point-and-click interface, allowing direct manipulation of proof objects via a graphical representation.
Externí odkaz:
http://arxiv.org/abs/2402.13179
Autor:
Tataru, Calin, Vicary, Jamie
Colimits are a fundamental construction in category theory. They provide a way to construct new objects by gluing together existing objects that are related in some way. We introduce a complementary notion of anticolimits, which provide a way to deco
Externí odkaz:
http://arxiv.org/abs/2401.17076
We provide a complete local well-posedness theory in $H^s$ based Sobolev spaces for the free boundary incompressible Euler equations with zero surface tension on a connected fluid domain. Our well-posedness theory includes: (i) Local well-posedness i
Externí odkaz:
http://arxiv.org/abs/2309.05625
Autor:
Tonasso, Roméo, Tataru, Daniel, Rauch, Hippolyte, Pozsgay, Vincent, Pfeiffer, Thomas, Uythoven, Erik, Rodríguez-Martínez, David
Publikováno v:
Acta Astronautica, Volume 218, May 2024, Pages 1-17
An efficient characterization of scientifically significant locations is essential prior to the return of humans to the Moon. The highest resolution imagery acquired from orbit of south-polar shadowed regions and other relevant locations remains, at
Externí odkaz:
http://arxiv.org/abs/2306.11013
Autor:
Ifrim, Mihaela, Tataru, Daniel
The first target of this article is the local well-posedness question for 1D quasilinear Schr\"odinger equations with cubic nonlinearities. The study of this class of problems, in all dimensions, was initiated in pioneering work of Kenig-Ponce-Vega f
Externí odkaz:
http://arxiv.org/abs/2306.00570
Autor:
Tataru, Calin, Vicary, Jamie
The algebraic zigzag construction has recently been introduced as a combinatorial foundation for a higher dimensional notion of string diagram. For use in a proof assistant, a layout algorithm is required to determine the optimal rendering coordinate
Externí odkaz:
http://arxiv.org/abs/2305.06938
Publikováno v:
Financial Innovation, Vol 10, Iss 1, Pp 1-36 (2024)
Abstract International portfolio management is influenced by the existence of “frictions”, factors or events that interfere with trade, which are linked in financial literature to market-specific factors, such as available information, restrictio
Externí odkaz:
https://doaj.org/article/ef43a140e96d420d97227ebc2279a8ff