Results 31 to 40 of about 989 (170)
A categorification of combinatorial Auslander–Reiten quivers
Abstract We provide a categorification of Oh and Suh's combinatorial Auslander–Reiten quivers in the simply laced case. We work within the perfectly valued derived category pvd(ΠQ)$\mathrm{pvd}(\Pi _Q)$ of the 2‐dimensional Ginzburg dg algebra of a Dynkin quiver Q$Q$.
Ricardo Canesin
wiley +1 more source
Red Blood Cell Membrane Mechanics Using Discrete Exterior Calculus (DEC) and Optimization
We present a novel DEC approach for calculating RBC shapes applicable to other cell types and membrane problems. We derive an energy minimization equation that can be solved semi‐implicitly, and a Lie derivative method to control node spacing. This novel work should aid computational modeling in many biological situations.
Keith C. Afas, Daniel Goldman
wiley +1 more source
Cartan connection of transversally Finsler foliation
The purpose of this paper is to define transversal Cartan connectionof Finsler foliation and to prove its existence and ...
Miernowski, Andrzej
core +1 more source
Cartan, Schouten and the search for connection
The authors give a detailed mathematical exposition of a 1925--1926 collaboration between Élie Cartan and Jan Arnoldus Schouten based on published articles and on archival correspondence in the Archives of the Académie des Sciences in Paris and Schouten's papers at the Amsterdam Mathematical Centrum.
Cogliati, A., Mastrolia, P.
openaire +2 more sources
Cartan Connection for h-Matsumoto change
In the present paper, we have studied the Matsumoto change $\overline{L}(x,y)= \frac{L^{2}(x,y)}{L(x,y) - β(x,y)} $ with an \textsl{h-}vector $b_{i}(x,y)$. We have derived some fundamental tensors for this transformation. We have also obtained the necessary and sufficient condition for which the Cartan connection coefficients for both the spaces $F^{n}=
Gupta, M. K., Sahu, Abha, Sharma, Suman
openaire +2 more sources
ABSTRACT In this paper, we continue the development of the Cartan neural networks programme, launched with three previous publications, by focusing on some mathematical foundational aspects that we deem necessary for our next steps forward. The mathematical and conceptual results are diverse and span various mathematical fields, but the inspiring ...
Pietro Fré +4 more
wiley +1 more source
Quantum Inspired Universal Analog Computation Based on Circuits
We propose an analog scheme of classical circuit for universal quantum computation. The information is encoded using correlated electrical signals, and the number of the basic computing components employed in our circuit design is consistent with the number of the quantum gate in the quantum circuit.
Hanxu Zhang, Yifan Sun, Xiangdong Zhang
wiley +1 more source
Newton-Cartan connections with Torsion
NA
Dereli, T., Kocak, S., Limoncu, M.
openaire +4 more sources
Quantum Regge Calculus of Einstein–Cartan theory
We study the Quantum Regge Calculus of Einstein–Cartan theory to describe quantum dynamics of Euclidean space–time discretized as a 4-simplices complex. Tetrad field eμ(x) and spin-connection field ωμ(x) are assigned to each 1-simplex.
Xue, She-Sheng
core +1 more source
Sublinear bilipschitz equivalence and the quasiisometric classification of solvable Lie groups
Abstract We prove a product theorem for sublinear bilipschitz equivalences which generalizes the classical work of Kapovich, Kleiner, and Leeb on quasiisometries between product spaces. We employ our product theorem to distinguish up to quasiisometry certain families of solvable groups which share the same dimension, cone‐dimension and Dehn function ...
Ido Grayevsky, Gabriel Pallier
wiley +1 more source

