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  1. ESTIMATES FOR DECREASING REARRANGEMENTS OF CONVOLUTION AND COVERINGS OF CONES

    In the paper, we obtain lower estimates for decreasing rearrangements of the convolutions through decreasing rearrangements of kernels and functions...

    Mikhail L. Goldman in Journal of Mathematical Sciences
    Article 01 October 2022
  2. Chromothripsis Rearrangements Are Informed by 3D-Genome Organization

    Chromothripsis is a mutational phenomenon representing a unique type of tremendously complex genomic structural alteration. It was initially...
    Natalia Petukhova, Alexey Zabelkin, ... Nikita Alexeev in Comparative Genomics
    Conference paper 2022
  3. Rearrangements, L-Superadditivity and Jensen-Type Inequalities

    We deal here with the minimum and the maximum of $$\displaystyle\sum...
    Chapter 2022
  4. Rearrangements of the Simple Random Walk

    In this paper we will look at representations of the simple random walk, \(S_{n}\)...
    Marina Skyers, Lee J. Stanley in Combinatorics, Graph Theory and Computing
    Conference paper 2022
  5. Extended Heinz and Jensen Type Inequalities and Rearrangements

    In this paper we extend the well known Heinz inequality which says that...
    Conference paper 2021
  6. Comparative Genomics 21st International Conference, RECOMB-CG 2024, Boston, MA, USA, April 27–28, 2024, Proceedings

    This book constitutes the proceedings of the 21st International Conference on Comparative Genomics, RECOMB-CG 2024, which was held in Boston, MA,...

    Celine Scornavacca, Maribel Hernández-Rosales in Lecture Notes in Computer Science
    Conference proceedings 2024
  7. TruEst: a better estimator of evolutionary distance under the INFER model

    Genome rearrangements are evolutionary events that shuffle genomic architectures. The number of genome rearrangements that happened between two...

    Alexey Zabelkin, Pavel Avdeyev, Nikita Alexeev in Journal of Mathematical Biology
    Article 10 July 2023
  8. Rearrangement Events on Circular Genomes

    Early literature on genome rearrangement modelling views the problem of computing evolutionary distances as an inherently combinatorial one. In...

    Joshua Stevenson, Venta Terauds, Jeremy Sumner in Bulletin of Mathematical Biology
    Article Open access 25 September 2023
  9. Physical Map** of Two Nested Fixed Inversions in the X Chromosome of the Malaria Mosquito Anopheles messeae

    Chromosomal inversions play an important role in genome evolution, speciation and adaptation of organisms to diverse environments. Map** and...
    Evgenia S. Soboleva, Kirill M. Kirilenko, ... Igor V. Sharakhov in Comparative Genomics
    Conference paper 2023
  10. Steady Vortex Rings in a Uniform Flow and Rearrangements of a Function

    We prove the existence of steady vortex rings of an ideal fluid in a uniform flow. We use an approach based on a variational principle for the...

    Article 02 January 2020
  11. Sorting by k-Cuts on Signed Permutations

    Sorting by Genome Rearrangements is a classic problem in Computational Biology. Several models have been considered so far, each of them defines how...
    Andre Rodrigues Oliveira, Alexsandro Oliveira Alexandrino, ... Zanoni Dias in Comparative Genomics
    Conference paper 2022
  12. Comparative Genomics 19th International Conference, RECOMB-CG 2022, La Jolla, CA, USA, May 20–21, 2022, Proceedings

    This book constitutes the refereed proceedings of the 19th Annual RECOMB Satellite Workshop on Comparative Genomics, RECOMB-CG which took place in La...
    Lingling **, Dannie Durand in Lecture Notes in Computer Science
    Conference proceedings 2022
  13. Rearrangements of Tripotents and Differences of Isometries in Semifinite von Neumann Algebras

    Let τ be a faithful normal semifinite trace on a von Neumann algebra , and u be a unitary part of . We prove a new property of rearrangements of...

    Article 18 October 2019
  14. MUTUAL COVERINGS OF CONES OF MONOTONE FUNCTIONS AND ESTIMATES OF THEIR INTEGRAL MAJORANTS

    Questions of mutual covering and equivalence of cones of monotone functions and the corresponding estimates of their majorants are studied. Two types...

    E. G. Bakhtigareeva, M. L. Goldman, G. Zh. Karshygina in Journal of Mathematical Sciences
    Article 01 April 2023
  15. Rearrangements of Series

    The present work is devoted to the problems related to the rearrangements of series in metrizable topological vector spaces. The idea goes back to...

    Article 08 May 2019
  16. Approximation algorithms for sorting by k-cuts on signed permutations

    Sorting by Genome Rearrangements is a classic problem in Computational Biology. Several models have been considered so far, each of them defines how...

    Andre Rodrigues Oliveira, Alexsandro Oliveira Alexandrino, ... Zanoni Dias in Journal of Combinatorial Optimization
    Article 17 November 2022
  17. A new algebraic approach to genome rearrangement models

    We present a unified framework for modelling genomes and their rearrangements in a genome algebra, as elements that simultaneously incorporate all...

    Venta Terauds, Jeremy Sumner in Journal of Mathematical Biology
    Article Open access 05 May 2022
  18. Rearrangements in Carnot Groups

    In this paper we extend the notion of rearrangement of nonnegative functions to the setting of Carnot groups. We define rearrangement with respect to...

    Juan J. Manfredi, Virginia N. Vera de Serio in Acta Mathematica Sinica, English Series
    Article 25 April 2019
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