Results 51 to 60 of about 11,431,351 (352)

Polynomial Growth Harmonic Functions on Finitely Generated Abelian Groups

, 2013
In the present paper, we develop geometric analytic techniques on Cayley graphs of finitely generated abelian groups to study the polynomial growth harmonic functions.
B Hua, B Hua, B Kleiner, Bobo Hua, C-J Sung, D Burago, DJS Robinson, F Lin, FRK Chung, G Alexopoulos, G Alexopoulos, G Alexopoulos, G Alexopoulos, GF Lawler, H Donnelly, HA Heilbronn, I Holopainen, J Milnor, J Moser, J Wang, Jürgen Jost, L-F Tam, M Gromov, M Suzuki, MS Raghunathan, P Kuchment, P Li, P Li, P Li, P Li, P Li, R Chen, RJ Duffin, ST Yau, ST Yau, SW Kim, SY Cheng, T Coulhon, T Coulhon, T Delmotte, TH Colding, TH Colding, TH Colding, TH Colding, Xianqing Li-Jost, Y Lin, Y Lin, Y Shalom, YH Lee   +48 more
core   +1 more source

Petrović-Type Inequalities for Harmonic h-convex Functions

, 2020
In the article, we establish several Petrovic-type inequalities for the harmonic - convex (concave) function if is a submultiplicative (super-multiplicative) function, provide some new majorizaton type inequalities for harmonic convex function, and prove
Imran Abbas Baloch, Y. Chu
semanticscholar   +1 more source

Entire $s$-harmonic functions are affine [PDF]

, 2014
In this paper, we prove that solutions to the equation $(-\Delta)^s u=0$ in $\mathbb{R}^N$, for $s\in (0,1)$, are affine. This will allow us to prove uniqueness of the Riesz potential $|x|^{2s-N}$ in Lebesgue spaces.
M. Fall
semanticscholar   +1 more source

Predicting Chronicity in Children and Adolescents With Newly Diagnosed Immune Thrombocytopenia at the Timepoint of Diagnosis Using Machine Learning‐Based Approaches

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Objectives To identify predictors of chronic ITP (cITP) and to develop a model based on several machine learning (ML) methods to estimate the individual risk of chronicity at the timepoint of diagnosis. Methods We analyzed a longitudinal cohort of 944 children enrolled in the Intercontinental Cooperative immune thrombocytopenia (ITP) Study ...
Severin Kasser, Alice Bizeul, Meera Chitlur, Hugo Donato, Jelena Roganovic, Julia E. Vogt, Thomas Kühne   +6 more
wiley   +1 more source

Predicting the Future Burden of Renal Replacement Therapy in Türkiye Using National Registry Data and Comparative Modeling Approaches

Therapeutic Apheresis and Dialysis, EarlyView.
ABSTRACT Background Chronic kidney disease is a growing public health problem worldwide, and the number of patients requiring renal replacement therapy is steadily increasing. Türkiye has experienced a similar rise in both the incidence and prevalence of renal replacement therapy over the past decades; however, national‐level projections of future ...
Arzu Akgül, Neriman Sıla Koç, Berrak Itır Aylı   +2 more
wiley   +1 more source

Harmonic morphisms and subharmonic functions

International Journal of Mathematics and Mathematical Sciences, 2005
Let M be a complete Riemannian manifold and N a complete noncompact Riemannian manifold. Let ϕ:M→N be a surjective harmonic morphism. We prove that if N admits a subharmonic function with finite Dirichlet integral which is not harmonic, and ϕ has finite
Gundon Choi, Gabjin Yun
doaj   +1 more source

Harmonic functions on multiplicative graphs and interpolation polynomials [PDF]

, 1999
We construct examples of nonnegative harmonic functions on certain graded graphs: the Young lattice and its generalizations. Such functions first emerged in harmonic analysis on the infinite symmetric group.
Borodin, Alexei, Olshanski, Grigori
core   +2 more sources

Time after time – circadian clocks through the lens of oscillator theory

FEBS Letters, EarlyView.
Oscillator theory bridges physics and circadian biology. Damped oscillators require external drivers, while limit cycles emerge from delayed feedback and nonlinearities. Coupling enables tissue‐level coherence, and entrainment aligns internal clocks with environmental cues.
Marta del Olmo, Carolin Ector, Hanspeter Herzel   +2 more
wiley   +1 more source

Ruscheweyh-type meromorphic harmonic functions

Journal of Inequalities and Applications
In this paper, we study classes of meromorphic harmonic functions defined by Ruscheweyh derivatives. In addition to finding certain analytic criteria, we obtain radii of starlikeness and convexity, and some topological properties for the defined classes ...
J. Dziok
doaj   +1 more source

Structural instability impairs function of the UDP‐xylose synthase 1 Ile181Asn variant associated with short‐stature genetic syndrome in humans

FEBS Letters, EarlyView.
The Ile181Asn variant of human UDP‐xylose synthase (hUXS1), associated with a short‐stature genetic syndrome, has previously been reported as inactive. Our findings demonstrate that Ile181Asn‐hUXS1 retains catalytic activity similar to the wild‐type but exhibits reduced stability, a looser oligomeric state, and an increased tendency to precipitate ...
Tuo Li, Pedro A. Sánchez‐Murcia, Bernd Nidetzky   +2 more
wiley   +1 more source