Zobrazeno 1 - 10
of 71
pro vyhledávání: '"Kim, Jongmyeong"'
Autor:
Kim, Jongmyeong, Lee, Se-Chan
We prove the Aleksandrov--Bakelman--Pucci estimate for non-uniformly elliptic equations in non-divergence form. Moreover, we investigate local behaviors of solutions of such equations by developing local boundedness and weak Harnack inequality. Here
Externí odkaz:
http://arxiv.org/abs/2406.18250
In this paper, we prove that the derived Rabinowitz Fukaya category of a Liouville domain $M$ of dimension $2n$ is $(n-1)$-Calabi--Yau assuming the wrapped Fukaya category of $M$ admits an at most countable set of Lagrangians that generate it and sat
Externí odkaz:
http://arxiv.org/abs/2304.02561
We present three equivalent definitions of the fractional $p$-Laplacian $(-\Delta_{\mathbb{H}^{n}})^{s}_{p}$, $01$, with normalizing constants, on the hyperbolic spaces. The explicit values of the constants enable us to study the convergenc
Externí odkaz:
http://arxiv.org/abs/2210.07029
We show that the derived wrapped Fukaya category $D^\pi\mathcal{W}(X_{Q}^{d+1})$, the derived compact Fukaya category $D^\pi\mathcal{F}(X_{Q}^{d+1})$ and the cocore disks $L_{Q}$ of the plumbing space $X_{Q}^{d+1}$ form a Calabi--Yau triple. As a con
Externí odkaz:
http://arxiv.org/abs/2209.09442
Autor:
Kim, Jongmyeong
In this paper, we study a dynamical property of an exact endofunctor $\Phi : \mathcal{D} \to \mathcal{D}$ of a triangulated category $\mathcal{D}$. In particular, we are interested in the following question: Given full triangulated subcategories $\ma
Externí odkaz:
http://arxiv.org/abs/2203.05162
Autor:
Kim, Jongmyeong
Engineered monolayers created by using microabrasion and micropatterning methods have provided a simplified in vitro system to study the effects of anisotropy and fiber direction on electrical propagation. Interpreting the behavior in these culture s
Externí odkaz:
http://hdl.handle.net/10161/2369
Autor:
Barbacovi, Federico, Kim, Jongmyeong
In topological dynamics, the Gromov--Yomdin theorem states that the topological entropy of a holomorphic automorphism $f$ of a smooth projective variety is equal to the logarithm of the spectral radius of the induced map $f^*$. In order to establish
Externí odkaz:
http://arxiv.org/abs/2110.12597
The Krylov--Safonov theory for fully nonlinear nonlocal operators on hyperbolic spaces of dimension three is established. Since the operators on hyperbolic spaces exhibit qualitatively different behavior than those on manifolds with nonnegative curva
Externí odkaz:
http://arxiv.org/abs/2108.08746
Autor:
Barbacovi, Federico, Kim, Jongmyeong
Given a categorical dynamical system, i.e. a triangulated category together with an endofunctor, one can try to understand the complexity of the system by computing the entropy of the endofunctor. Computing the entropy of the composition of two endof
Externí odkaz:
http://arxiv.org/abs/2107.06079
Autor:
Kim, Jongmyeong
We study the relationship between the categorical entropy of the twist and cotwist functors along a spherical functor. In particular, we prove the categorical entropy of the twist functor coincides with that of the cotwist functor if the essential im
Externí odkaz:
http://arxiv.org/abs/2102.08590