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Articles 1 - 7 of 7
Full-Text Articles in Physical Sciences and Mathematics
Topological And H^Q Equivalence Of Cyclic N-Gonal Actions On Riemann Surfaces - Part Ii, Sean A. Broughton
Topological And H^Q Equivalence Of Cyclic N-Gonal Actions On Riemann Surfaces - Part Ii, Sean A. Broughton
Mathematical Sciences Technical Reports (MSTR)
We consider conformal actions of the finite group G on a closed Riemann surface S, as well as algebraic actions of G on smooth, complete, algebraic curves over an arbitrary, algebraically closed field. There are several notions of equivalence of actions, the most studied of which is topological equivalence, because of its close relationship to the branch locus of moduli space. A second important equivalence relation is that induced by representation of G on spaces of holomorphic q-differentials. The notion of topological equivalence does not work well in positive characteristic. We shall discuss an alternative to topological equivalence, …
Modeling Braids With Space-Varying And Time-Varying Stranded Cellular Automata, Brian Chan
Modeling Braids With Space-Varying And Time-Varying Stranded Cellular Automata, Brian Chan
Mathematical Sciences Technical Reports (MSTR)
Braids in a traditional sense and braids in a mathematical sense are wildly different outlooks on the same concept. Using cellular automata to represent and analyze braids is a way to bridge the gap between them. Joshua and Lana Holden and Hao Yang have previously worked on developing and expanding upon a Stranded Cellular Automata (SCA) model capable of representing many different braids and weaves. Continuing their work, we were able to devise a more user-friendly method for interacting with the model such that even those without a mathematical background can construct and analyze braids of their own. This paper …
The Game Of Life On The Hyperbolic Plane, Yuncong Gu
The Game Of Life On The Hyperbolic Plane, Yuncong Gu
Mathematical Sciences Technical Reports (MSTR)
In this paper, we work on the Game of Life on the hyperbolic plane. We are interested in different tessellations on the hyperbolic plane and different Game of Life rules. First, we show the exponential growth of polygons on the pentagon tessellation. Moreover, we find that the Group of 3 can keep the boundary of a set not getting smaller. We generalize the existence of still lifes by computer simulations. Also, we will prove some propositions of still lifes and cycles. There exists a still life under rules B1, B2, and S3.
Level Algebras And S-Lecture Hall Polytopes, Mccabe Olsen, Florian Kohl
Level Algebras And S-Lecture Hall Polytopes, Mccabe Olsen, Florian Kohl
Faculty Publications - Mathematics
No abstract provided.
Single-Seed Cascades On Clustered Networks. Network Science, John Mcsweeney
Single-Seed Cascades On Clustered Networks. Network Science, John Mcsweeney
Faculty Publications - Mathematics
No abstract provided.
The Mathematics Of Secrets : Cryptography From Caesar Ciphers To Digital Encryption, William Green
The Mathematics Of Secrets : Cryptography From Caesar Ciphers To Digital Encryption, William Green
Faculty Publications - Mathematics
No abstract provided.
On The Lp Boundedness For Four-Dimensional Wave Operators For Schrodinger Operators With A Threshold Eigenvalue, William Green, Michael Goldberg
On The Lp Boundedness For Four-Dimensional Wave Operators For Schrodinger Operators With A Threshold Eigenvalue, William Green, Michael Goldberg
Faculty Publications - Mathematics
No abstract provided.