Zobrazeno 1 - 10
of 5 373
pro vyhledávání: '"A. Czyz"'
Autor:
Åhag, Per, Czyż, Rafał
This study extends the celebrated volume-capacity estimates of Dinew and Kolodziej, providing a foundation for examining the regularity of solutions to boundary value problems for complex Hessian equations. By integrating the techniques established b
Externí odkaz:
http://arxiv.org/abs/2409.16848
In this paper, we extend the concept of finite entropy measures in K\"ahler geometry. We define the finite $p$-entropy related to $\omega$-plurisubharmonic functions and demonstrate their inclusion in an appropriate energy class. Our study is anchore
Externí odkaz:
http://arxiv.org/abs/2408.06824
We initiate the study of $m$-subharmonic functions with respect to a semipositive $(1,1)$-form in Euclidean domains, providing a significant element in understanding geodesics within the context of complex Hessian equations. Based on the foundational
Externí odkaz:
http://arxiv.org/abs/2405.04948
This study examines geodesics and plurisubharmonic envelopes within the Cegrell classes on bounded hyperconvex domains in $\mathbb{C}^n$. We establish that solutions possessing comparable singularities to the complex Monge-Amp\`ere equation are ident
Externí odkaz:
http://arxiv.org/abs/2405.04384
Autor:
Miernik, K., Korgul, A., Poklepa, W., Wilson, J. N., Charles, G., Czajkowski, S., Czyż, P., Fijałkowska, A., Fraile, L. M., Garczyński, P., Hauschild, K., Hiver, C., Kurtukian-Nieto, T., Lebois, M., Llanos, M., Lopez-Martens, A., Treasa, K. M. Deby, Ljungvall, J., Matea, I., Mielczarek, J., Murias, J. R., Pasqualato, G., Skruch, A., Solak, K., Stoyachev, K., Tsekhanovich, I.
Background: Asymmetric fission is known to occur in two regions, the actinides and sub-lead, and is dependent on the fissioning system excitation energy. Experimental evidence in the sub-lead region show that this mode is surprisingly persistent with
Externí odkaz:
http://arxiv.org/abs/2311.13931
The pointwise mutual information profile, or simply profile, is the distribution of pointwise mutual information for a given pair of random variables. One of its important properties is that its expected value is precisely the mutual information betw
Externí odkaz:
http://arxiv.org/abs/2310.10240
This study delves into the complex branches of a generalized Lambert $W$ function associated with $p,q$-binomial coefficients. We thoroughly analyze the multi-valued inverse of $\sinh(az)e^z$ under varying conditions for parameter $a$. This examinati
Externí odkaz:
http://arxiv.org/abs/2306.16362
Addressing the intricate challenges in plane elasticity, especially with non-vanishing traction and complex geometries, requires innovative methods. This paper offers a novel approach, drawing inspiration from the Neumann problem for the inhomogeneou
Externí odkaz:
http://arxiv.org/abs/2306.13391
Mutual information is a general statistical dependency measure which has found applications in representation learning, causality, domain generalization and computational biology. However, mutual information estimators are typically evaluated on simp
Externí odkaz:
http://arxiv.org/abs/2306.11078
With only a complete solution in dimension one and partially solved in dimension two, the Lenz-Ising model of magnetism is one of the most studied models in theoretical physics. An approach to solving this model in the high-dimensional case ($d>4$) i
Externí odkaz:
http://arxiv.org/abs/2304.09815