Results 41 to 50 of about 7,833,680 (354)
A numerical method for computing zeros of analytic complex functions is presented. It relies on Cauchy's residue theorem and the method of Newton's identities, which translates the problem to finding zeros of a polynomial.
Erika Strakova +2 more
doaj +1 more source
Complex singularities around the QCD critical point at finite densities [PDF]
Partition function zeros provide alternative approach to study phase structure of finite density QCD. The structure of the Lee-Yang edge singularities associated with the zeros in the complex chemical potential plane has a strong influence on the real ...
Ejiri, Shinji +2 more
core +1 more source
Real and complex zeros of Riemannian random waves [PDF]
We consider Riemannian random waves, i.e. Gaussian random linear combination of eigenfunctions of the Laplacian on a compact Riemannian manifold with frequencies from a short interval (`asymptotically fixed frequency').
S. Zelditch
semanticscholar +1 more source
Lee-Yang theory of the Curie-Weiss model and its rare fluctuations
Phase transitions are typically accompanied by nonanalytic behaviors of the free energy, which can be explained by considering the zeros of the partition function in the complex plane of the control parameter and their approach to the critical value on ...
Aydin Deger, Christian Flindt
doaj +1 more source
Exact results for the zeros of the partition function of the Potts model on finite lattices
The Yang-Lee zeros of the Q-state Potts model are investigated in 1, 2 and 3 dimensions. Analytical results derived from the transfer matrix for the one-dimensional model reveal a systematic behavior of the locus of zeros as a function of Q.
Baxter +21 more
core +1 more source
Complex Zeros of Eigenfunctions of 1D Schrödinger Operators [PDF]
In this article we study the semiclassical distribution of the complex zeros of the eigenfunctions of the 1D Schrodinger operators for the class of real polynomial potentials of even degree, with fixed energy level, E.
Hamid Hezari
semanticscholar +1 more source
Estimates for the polar derivative of a constrained polynomial on a disk
This work is a part of a recent wave of studies on inequalities which relate the uniform-norm of a univariate complex coefficient polynomial to its derivative on the unit disk in the plane.
Gradimir V. Milovanović +2 more
doaj +1 more source
Partition function zeros of the Q-state Potts model for non-integer Q
The distribution of the zeros of the partition function in the complex temperature plane (Fisher zeros) of the two-dimensional Q-state Potts model is studied for non-integer Q.
Baxter +18 more
core +1 more source
Chromatic roots are dense in the whole complex plane [PDF]
I show that the zeros of the chromatic polynomials P_G(q) for the generalized theta graphs \Theta^{(s,p)} are, taken together, dense in the whole complex plane with the possible exception of the disc |q-1| < 1.
Sokal, Alan D.
core +3 more sources
A hybrid method for a polynomial complex zero
The paper deals with an iterative algorithm for finding isolated simple complex zeroes of a polynomial. Using Weierstrass' interval formula for the simultaneous inclusion of all zeroes of the polynomial and rectangular floating-point arithmetic, a hybrid method with high computational efficiency is presented.
Petković, Miodrag, Cvetković, Ljiljana
openaire +2 more sources

