Results 31 to 40 of about 76,798 (219)

A Global Theory of Algebras of Generalized Functions

Advances in Mathematics, 2002
We present a geometric approach to defining an algebra $\hat{\mathcal G}(M)$ (the Colombeau algebra) of generalized functions on a smooth manifold $M$ containing the space ${\mathcal D}'(M)$ of distributions on $M$. Based on differential calculus in convenient vector spaces we achieve an intrinsic construction of $\hat{\mathcal G}(M)$. $\hat{\mathcal G}
Grosser, M., Kunzinger, M., Steinbauer, R., Vickers, J. A.   +3 more
openaire   +5 more sources

Differential chain of algebras of generalized functions

Novi Sad Journal of Mathematics, 2021
The authors compare several algebraic generalized solution concepts for nonlinear partial differential equations. They show that spaces of normal lower semi-continuous functions used in the order completion method form a differential chain of algebras of generalized functions.
Agbebaku, Dennis Ferdinand, Van der Walt, Jan Harm   +1 more
openaire   +3 more sources

Generalized stochastic processes in algebras of generalized functions

Journal of Mathematical Analysis and Applications, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mirkov, Radoslava, Pilipovic, Stevan, Selesi, Dora   +2 more
openaire   +2 more sources

Covering groups and their applications: A survey

Учёные записки Казанского университета: Серия Физико-математические науки, 2022
This article is a survey of covering group theorems and their applications. For a given covering mapping from the topological space onto a topological group, it is natural to pose the following question on the lifting of the group structure from the base
R.N. Gumerov
doaj   +1 more source

Ternary SU(3)-group symmetry and its possible applications in hadron-quark substructure. Towards a new spinor-fermion structure [PDF]

EPJ Web of Conferences, 2019
The questions on the existence of the three color quark symmetry and three quark-lepton generations could have the origin associated with the new exotic symmetries outside the Cartan-Killing-Lie algebras/groups.
Maslikov Alexander, Volkov Guennady
doaj   +1 more source

Level two string functions and Rogers Ramanujan type identities

Nuclear Physics B, 2014
The level two string functions are calculated exactly for all simply laced Lie algebras, using a ladder coset construction. These are the characters of cosets of the type G/U(1)r, where G is the algebra at level two and r is its rank.
Arel Genish, Doron Gepner
doaj   +1 more source

Aggregating distributed energy resources for grid flexibility services: A distributed game theoretic approach

International Journal of Robust and Nonlinear Control, EarlyView., 2023
Abstract We propose a hierarchical energy management scheme for aggregating Distributed Energy Resources (DERs) for grid flexibility services. To prevent a direct participation of numerous prosumers in the wholesale electricity market, aggregators, as self‐interest agents in our scheme, incentivize prosumers to provide flexibility. We firstly model the
Xiupeng Chen, Mehran Shakarami, Jacquelien M. A. Scherpen, Nima Monshizadeh   +3 more
wiley   +1 more source

Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real‐World Data

Advanced Intelligent Discovery, EarlyView.
This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
wiley   +1 more source

Evolutionary dynamics on a regular networked structured and unstructured multi‐population

International Journal of Robust and Nonlinear Control, EarlyView., 2023
Abstract In this paper, we study collective decision‐making in a multi‐population framework, where groups of individuals represent whole populations that interact by means of a regular network. Each group consists of a number of players and every player can choose between two options.
Wouter Baar, Leonardo Stella, Dario Bauso   +2 more
wiley   +1 more source

Algebras, BPS States, and Strings

, 1995
We clarify the role played by BPS states in the calculation of threshold corrections of D=4, N=2 heterotic string compactifications. We evaluate these corrections for some classes of compactifications and show that they are sums of logarithmic functions ...
Antoniadis, Antoniadis, Antoniadis, Antoniadis, Argyres, Bailin, Bailin, Banks, Berkovits, Bershadsky, Bianchi, Borcherds, Borcherds, Borcherds, Borcherds, Calabi, Candelas, Candelas, Cardoso, Cardoso, Cardoso, Cecotti, Cecotti, Conway, Dabholkar, Dabholkar, de Wit, de Wit, Derendinger, Dixon, Duff, Eguchi, Eguchi, Feingold, Fen-am, Ferrara, Frenkel, Frenkel, Frenkel, Friedan, Fuchs, Gebert, Gilmore, Giveon, Giveon, Goddard, Goddard, Green, Greene, Gregory Moore, Grisaru, Grisaru, Grisaru, Gross, Horava, Horava, Hull, Jeffrey A. Harvey, Julia, Kac, Kac, Kachru, Kaplunovsky, Kaplunovsky, Kaplunovsky, Kiritsis, Klemm, Lerche, Lerche, Lewin, Lian, Martinec, Mayr, Mayr, Minahan, Montonen, Nojiri, Ooguri, Ooguri, Osborn, Patera, Polchinski, Schellekens, Schellekens, Schellekens, Schwarz, Seiberg, Seiberg, Seiberg, Sen, Sen, Strominger, Vafa, Witten, Witten, Witten, Witten, Witten, Witten, Witten, Yoshii   +100 more
core   +2 more sources