Results 11 to 20 of about 237,114 (316)
Zero-energy fields on complex projective space [PDF]
Journal of Differential Geometry, 2013 We consider complex projective space with its Fubini-Study metric and the X-ray transform defined by integration over its geodesics. We identify the kernel of this transform acting on symmetric tensor fields.
Michael Eastwood, Hubert Goldschmidt
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Zero-point momentum in complex media [PDF]
The European Physical Journal D, 2008 In this work we apply field regularization techniques to formulate a number of new phenomena related to momentum induced by electromagnetic zero-point fluctuations. We discuss the zero-point momentum associated with magneto-electric media, with moving media, and with magneto-chiral media.
B. A. van Tiggelen, G. L. J. A. Rikken
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Complex zero decreasing sequences [PDF]
Methods and Applications of Analysis, 1995 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Craven, Thomas, Csordas, George
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The complex zeros of random polynomials [PDF]
Transactions of the American Mathematical Society, 1995 Mark Kac gave an explicit formula for the expectation of the number, ν n ( Ω ) {\nu _n}(\Omega ) , of zeros of a random polynomial, \[ P n ( z ) = ∑
Shepp, Larry A, Vanderbei, Robert J
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Random complex zeroes, II. Perturbed lattice [PDF]
Israel Journal of Mathematics, 2006 We show that the flat chaotic analytic zero points (i.e. zeroes of a random entire function whose Taylor coefficients are independent complex-valued Gaussian random variables, and the variance of the k-th coefficient is 1/k!) can be regarded as a random perturbation of a lattice in the plane. The distribution of the distances between the zeroes and the
Sodin, Mikhail, Tsirelson, Boris
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Random complex zeroes, I. Asymptotic normality [PDF]
Israel Journal of Mathematics, 2004 We consider three models (elliptic, flat and hyperbolic) of Gaussian random analytic functions distinguished by invariance of their zeroes distribution. Asymptotic normality is proven for smooth functionals (linear statistics) of the set of zeroes.
Sodin, Mikhail, Tsirelson, Boris
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Bounds for the zeros of unilateral octonionic polynomials
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021 In the present work it is proved that the zeros of a unilateral octonionic polynomial belong to the conjugacy classes of the latent roots of an appropriate lambda-matrix.
Serôdio Rogério +2 more
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Topological Complexity of Zero-Finding
Journal of Complexity, 1996 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Novak, Erich, Woźniakowski, Henry
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Wave excitation and dynamics in non-Hermitian disordered systems
Physical Review Research, 2022 Dynamic and steady-state aspects of wave propagation are deeply connected in lossless open systems in which the scattering matrix is unitary. There is then an equivalence among the energy excited within the medium through all channels, the Wigner time ...
Yiming Huang (黄一鸣) +2 more
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Complex random energy model: zeros and fluctuations [PDF]
Probability Theory and Related Fields, 2013 The partition function of the random energy model at inverse temperature $ $ is a sum of random exponentials $Z_N( )=\sum_{k=1}^N \exp( \sqrt{n} X_k)$, where $X_1,X_2,...$ are independent real standard normal random variables (= random energies), and $n=\log N$. We study the large $N$ limit of the partition function viewed as an analytic function of
Kabluchko, Zakhar, Klymovskiy, Anton
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