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of 944
pro vyhledávání: '"A Voloch"'
Autor:
Moltchanova, Elena, Moyers-González, Miguel, Van de Voorde, Geertrui, Voloch, José Felipe, Wacker, Philipp
In this paper, we consider how probability theory can be used to determine the survival strategy in two of the ``Squid Game" and ``Squid Game: The Challenge" challenges: the Hopscotch and the Warships. We show how Hopscotch can be easily tackled with
Externí odkaz:
http://arxiv.org/abs/2409.05263
Using well-known mathematical problems for encryption is a widely used technique because they are computationally hard and provide security against potential attacks on the encryption method. The subset sum problem (SSP) can be defined as finding a s
Externí odkaz:
http://arxiv.org/abs/2401.09221
Let $C$ and $C'$ be curves over a finite field $K$, provided with embeddings $\iota$ and $\iota'$ into their Jacobian varieties. Let $D\to C$ and $D'\to C'$ be the pullbacks (via these embeddings) of the multiplication-by-$2$ maps on the Jacobians. W
Externí odkaz:
http://arxiv.org/abs/2402.08853
For a variety over a global field, one can consider subsets of the set of adelic points of the variety cut out by finite abelian descent or Brauer-Manin obstructions. Given a Galois extension of the ground field one can consider similar sets over the
Externí odkaz:
http://arxiv.org/abs/2402.04441
Autor:
Voloch, José Felipe
We study some properties of the lattices defined as the kernel of the map $(a_1,\ldots, a_{q-1}) \mapsto \prod (1-c_ix)^{a_i} \in (\mathbb{F}_q[x]/(x^e))^*$, where $\mathbb{F}_q^* = \{c_1,\ldots,c_{q-1}\}$.
Comment: Main result is a special case
Comment: Main result is a special case
Externí odkaz:
http://arxiv.org/abs/2309.08903
Autor:
Creutz, Brendan, Voloch, José Felipe
We prove that the set of rational points on a nonisotrivial curves of genus at least 2 over a global function field is equal to the set of adelic points cut out by the Brauer-Manin obstruction.
Comment: With an appendix by Damian R\"ossler
Comment: With an appendix by Damian R\"ossler
Externí odkaz:
http://arxiv.org/abs/2308.13075
Autor:
Creutz, Brendan, Voloch, Jose Felipe
Publikováno v:
Ãpijournal de Géométrie Algébrique, Volume 8 (July 9, 2024) epiga:11483
Let $C$ and $D$ be smooth, proper and geometrically integral curves over a finite field $F$. Any morphism from $D$ to $C$ induces a morphism of their \'etale fundamental groups. The anabelian philosophy proposed by Grothendieck suggests that, when $C
Externí odkaz:
http://arxiv.org/abs/2306.04844
We obtain new bounds on short Weil sums over small multiplicative subgroups of prime finite fields which remain nontrivial in the range the classical Weil bound is already trivial. The method we use is a blend of techniques coming from algebraic geom
Externí odkaz:
http://arxiv.org/abs/2211.07739
Autor:
Wu, Yulun, Barton, Robert A., Wang, Zichen, Ioannidis, Vassilis N., De Donno, Carlo, Price, Layne C., Voloch, Luis F., Karypis, George
Predicting the responses of a cell under perturbations may bring important benefits to drug discovery and personalized therapeutics. In this work, we propose a novel graph variational Bayesian causal inference framework to predict a cell's gene expre
Externí odkaz:
http://arxiv.org/abs/2210.00116
The problem of how to genetically modify cells in order to maximize a certain cellular phenotype has taken center stage in drug development over the last few years (with, for example, genetically edited CAR-T, CAR-NK, and CAR-NKT cells entering cance
Externí odkaz:
http://arxiv.org/abs/2207.12805