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pro vyhledávání: '"BERMAN, STEPHEN"'
Autor:
Umphrey, Lisa, Wathen, Joseph, Chambliss, Amy, Kalata, Kathryn, Morgan, Lucas, Moua, Mary, Collesides, Alexa, Berman, Stephen
Publikováno v:
In Advances in Pediatrics August 2023 70(1):1-15
Akademický článek
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$Objective$: A characteristic of neurological signal processing is high levels of noise from sub-cellular ion channels up to whole-brain processes. In this paper, we propose a new model of electroencephalogram (EEG) background periodograms, based on
Externí odkaz:
http://arxiv.org/abs/1608.03464
A new class of formal latent-variable stochastic processes called hidden quantum models (HQM's) is defined in order to clarify the theoretical foundations of ion channel signal processing. HQM's are based on quantum stochastic processes which formali
Externí odkaz:
http://arxiv.org/abs/1511.00057
Let M_n be the class of all multiloop algebras of finite dimensional simple Lie algebras relative to n-tuples of commuting finite order automorphisms. It is a classical result that M_1 is the class of all derived algebras modulo their centres of affi
Externí odkaz:
http://arxiv.org/abs/1002.2674
An important theorem in the theory of infinite dimensional Lie algebras states that any affine Kac-Moody algebra can be realized (that is to say constructed explicitly) using loop algebras. In this paper, we consider the corresponding problem for a c
Externí odkaz:
http://arxiv.org/abs/0709.0975
Publikováno v:
Forum Math., 20(3):395-432,2008.
Multiloop algebras determined by $n$ commuting algebra automorphisms of finite order are natural generalizations of the classical loop algebras that are used to realize affine Kac-Moody Lie algebras. In this paper, we obtain necessary and sufficient
Externí odkaz:
http://arxiv.org/abs/math/0511723
Autor:
Berman, Stephen, Morita, Jun
Let F be a field of characteristic not 2 and assume all algebras are over F. We establish several conjugacy theorems for the special linear Lie algebra sl_2 over an F-algebra which is a UFD. We find the structure of the full automorphism group as wel
Externí odkaz:
http://arxiv.org/abs/math/0502529
Publikováno v:
Pacific J. Math., 227(1):1-41, 2006.
Iterated loop algebras are by definition obtained by repeatedly applying the loop construction, familiar from the theory of affine Kac-Moody Lie algebras, to a given base algebra. Our interest in this iterated construction is motivated by its use in
Externí odkaz:
http://arxiv.org/abs/math/0502225