Results 141 to 150 of about 96,717 (274)
The relative variational principle by Ledrappier and Walters: A survey
Abstract Ledrappier and Walters's article “A Relativised Variational Principle for Continuous Transformations”, J. Lond. Math. Soc. (2) 16 (1977), no. 3, 568–576) is a landmark in the development of thermodynamic formalism. This survey, aimed at newcomers to the field and experts in adjacent fields discusses the background, the Ledrappier–Walters ...
Anthony Quas
wiley +1 more source
Theta divisors and permutohedra
Abstract We establish an intriguing relation of the smooth theta divisor Θn$\Theta ^n$ with permutohedron Πn$\Pi ^n$ and the corresponding toric variety XΠn$X_\Pi ^n$. In particular, we show that the generalised Todd genus of the theta divisor Θn$\Theta ^n$ coincides with h$h$‐polynomial of permutohedron Πn$\Pi ^n$ and thus is different from the same ...
V. M. Buchstaber, A. P. Veselov
wiley +1 more source
Factorial and Multinomial Theorem on the Binomial Coefficients for Combinatorial Geometric Series
Chinnaraji Annamalai
openalex +1 more source
Siegel–Veech constants for cyclic covers of generic translation surfaces
Abstract We compute the asymptotic number of cylinders, weighted by their area to any nonnegative power, on any cyclic branched cover of any generic translation surface in any stratum. Our formulae depend only on topological invariants of the cover and number‐theoretic properties of the degree: in particular, the ratio of the related Siegel–Veech ...
David Aulicino +4 more
wiley +1 more source
Binomial Theorem on the Coefficients for Combinatorial Geometric Series
Chinnaraji Annamalai
openalex +2 more sources
A note on the binomial distribution motivated by Chvátal's theorem and Tomasewski's theorem [PDF]
Zheng-Yan Guo, Zechun Hu, Ronghai Wang
openalex +1 more source
Random planar trees and the Jacobian conjecture
Abstract We develop a probabilistic approach to the celebrated Jacobian conjecture, which states that any Keller map (i.e. any polynomial mapping F:Cn→Cn$F\colon \mathbb {C}^n \rightarrow \mathbb {C}^n$ whose Jacobian determinant is a non‐zero constant) has a compositional inverse which is also a polynomial. The Jacobian conjecture may be formulated in
Elia Bisi +5 more
wiley +1 more source
Computation of Binomial, Factorial and Multinomial Theorems for Machine Leaning and Cybersecurity [PDF]
Chinnaraji Annamalai
openalex +1 more source
Study of (p, q)‐Symmetric Starlike Functions of Order η
In the field of geometric function theory, we use the (p, q)‐differential operator in the complex unit disk to describe a novel class Sp,q∗∗η of symmetrical starlike functions of order η. Several interesting properties of functions belonging to the class Sp,q∗∗η are examined, such as growth, distortion, and convolution characteristics.
Imran Khan +4 more
wiley +1 more source
A refinement of a local limit theorem for a Poisson binomial random variable [PDF]
Suporn Jongpreechaharn +2 more
openalex +1 more source

