A survey on Igusa-Todorov functions
Representation Theory
2023-10-16 v1
Abstract
In this survey, we review the fundamental properties of the Igusa-Todorov functions, the ϕ-dimension, the ψ-dimension and their generalizations.
Cite
@article{arxiv.2310.09283,
title = {A survey on Igusa-Todorov functions},
author = {Marcos Barrios and Marcelo Lanzilotta and Gustavo Mata},
journal= {arXiv preprint arXiv:2310.09283},
year = {2023}
}
Related papers
View all related →
Representation Theory · Mathematics
Igusa-Todorov functions for Artin algebras
Marcelo Lanzilotta, Gustavo Mata
2016-06-03
Representation Theory · Mathematics
The Phi-dimension: A new homological measure
Sonia Fernandes, Marcelo Lanzilotta, Octavio Mendoza
2014-04-22
Representation Theory · Mathematics
Igusa-Todorov functions for radical square zero algebras
M. Lanzilotta, E. N. Marcos, G. Mata
2015-06-22
Dynamical Systems · Mathematics
On the dimension of self-similar measures with complicated overlaps
Balázs Bárány, Edina Szvák
2020-01-15
General Mathematics · Mathematics
On the dual valued generalized hypergeometric function and its special cases
Ravi Dwivedi, Juan Carlos Cortés
2025-07-29
Differential Geometry · Mathematics
Some results on $\varphi$--convex functions and geodesic $\varphi$-convex functions
Absos Ali Shaikh, Akhlad Iqbal, Chandan Kumar Mondal
2018-08-03
Complex Variables · Mathematics
Remarks on the Sibony functions and pseudometrics
Marek Jarnicki, Peter Pflug
2018-07-11
Representation Theory · Mathematics
The Igusa-Todorov function for comodules
Haim Mariana, Lanzilotta Marcelo, Mata Gustavo
2011-09-07
Representation Theory · Mathematics
The Igusa-Todorov $\phi$ function for truncated path algebras
Marcos Barrios, Gustavo Mata, Gustavo Rama
2018-08-22
Classical Analysis and ODEs · Mathematics
A look at generalized trigonometric functions as functions of their two parameters and further new properties
Dmitrii Karp, Elena Prilepkina
2024-11-21
Dynamical Systems · Mathematics
Dimension theory of iterated function systems
De-Jun Feng, Huyi Hu
2010-02-11
Probability · Mathematics
Concentration on Poisson spaces via modified $\Phi$-Sobolev inequalities
Anna Gusakova, Holger Sambale, Christoph Thaele
2022-03-17
Quantum Physics · Physics
On two-dimensional Bessel functions
H. J. Korsch, A. Klumpp, D. Witthaut
2008-08-12
Classical Analysis and ODEs · Mathematics
An Extended k-type Hypergeometric Functions
Praveen Agarwal, Mohamed Jleli
2017-05-18
Classical Analysis and ODEs · Mathematics
Some elementary aspects of Hausdorff measure and dimension
Stephen Semmes
2010-08-17
Classical Analysis and ODEs · Mathematics
Generalised lower Assouad-type dimensions and their interpolations
Haipeng Chen, Wen Wang
2026-02-10
dg-ga · Mathematics
Geometric zeta-functions on p-adic groups
Anton Deitmar
2008-02-03
Mathematical Physics · Physics
Faddeev eigenfunctions for point potentials in two dimensions
Piotr Grinevich, Roman Novikov
2012-02-28
Probability · Mathematics
The fractional Poisson measure in infinite dimensions
Maria Joao Oliveira, Habib Ouerdiane, Jose Luis da Silva, R. Vilela Mendes
2010-02-11
Classical Analysis and ODEs · Mathematics
An extension of basic Humbert hypergeometric functions {\Phi}1, {\Phi}2 and {\Phi}3
Ayman Shehata
2025-02-11
Complex Variables · Mathematics
A new generalization of generalized hypergeometric functions
Arjun K. Rathie
2012-06-05
Functional Analysis · Mathematics
On some inequalities for different kinds of convexity
Merve Avci Ardic, M. Emin Ozdemir
2012-09-25
Classical Analysis and ODEs · Mathematics
Topics in special functions III
Glen D. Anderson, Matti Vuorinen, Xiaohui Zhang
2013-04-15
Dynamical Systems · Mathematics
On the dimension spectra of infinite iterated function systems
Tushar Das, David Simmons
2023-02-24
Number Theory · Mathematics
Intrinsic Diophantine Approximation on General Polynomial Surfaces
Morten Hein Tiljeset
2019-02-20