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pro vyhledávání: '"Ganapathy, Karthik"'
Autor:
Ganapathy, Karthik
Over fields of characteristic two, we construct an infinite ascending chain of GL-stable ideals in the coordinate ring of infinite skew-symmetric matrices. This construction provides the first known example of a non-noetherian GL-algebra, thereby res
Externí odkaz:
http://arxiv.org/abs/2408.04630
Autor:
Ganapathy, Karthik
We propose a method to unify various stability results about symmetric ideals in polynomial rings by stratifying related derived categories. We execute this idea for chains of $GL_n$-equivariant modules over an infinite field $k$ of positive characte
Externí odkaz:
http://arxiv.org/abs/2407.16071
Autor:
Ganapathy, Karthik
We study GL-equivariant modules over the infinite variable polynomial ring $S = k[x_1, x_2, ..., x_n, ...]$ with $k$ an infinite field of characteristic $p > 0$. We extend many of Sam--Snowden's far-reaching results from characteristic zero to this s
Externí odkaz:
http://arxiv.org/abs/2407.13604
We formulate a mathematical framework for designing a self-tuning network control architecture, and propose a computationally-feasible greedy algorithm for online architecture optimization. In this setting, the locations of active sensors and actuato
Externí odkaz:
http://arxiv.org/abs/2402.16861
Publikováno v:
61st Conference on Decision and Control, pp 5876-5881, 2022
We formulate a general mathematical framework for self-tuning network control architecture design. This problem involves jointly adapting the locations of active sensors and actuators in the network and the feedback control policy to all available in
Externí odkaz:
http://arxiv.org/abs/2301.06699
Autor:
Ganapathy, Karthik
Publikováno v:
Sel. Math. New Ser. 30, 63 (2024)
We study the category of GL-equivariant modules over the infinite exterior algebra in positive characteristic. Our main structural result is a shift theorem a la Nagpal. Using this, we obtain a Church--Ellenberg type bound for the Castelnuovo--Mumfor
Externí odkaz:
http://arxiv.org/abs/2203.03693
The association of weights in a distributed consensus protocol quantify the trust that an agent has on its neighbors in a network. An important problem in such networked systems is the uncertainty in the estimation of trust between neighboring agents
Externí odkaz:
http://arxiv.org/abs/2202.09223
Autor:
Ganapathy, Karthik
Publikováno v:
J. Commut. Algebra 14 (3) 315 - 318, Fall 2022
Let $\mathbf{A}_{n, m}$ be the polynomial ring $\text{Sym}(\mathbf{C}^n \otimes \mathbf{C}^m)$ with the natural action of $\mathbf{GL}_m(\mathbf{C})$. We construct a family of $\mathbf{GL}_m(\mathbf{C})$-stable ideals $J_{n, m}$ in $\mathbf{A}_{n, m}
Externí odkaz:
http://arxiv.org/abs/2007.03038
Akademický článek
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Autor:
Ganapathy, Karthik *, Summers, Tyler *
Publikováno v:
In IFAC PapersOnLine 2023 56(2):3843-3849
