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DTSTART;TZID=America/Los_Angeles:20181112T161500
DTEND;TZID=America/Los_Angeles:20181112T171500
DTSTAMP:20260505T030113
CREATED:20180910T183619Z
LAST-MODIFIED:20181101T041237Z
UID:523-1542039300-1542042900@colleges.claremont.edu
SUMMARY:Digital sequences for frequency hopping CDMA systems (Lenny Fukshansky\, CMC)
DESCRIPTION:Frequency hopping is a method of transmitting signals by rapidly switching between many frequency channels\, following some sequence of frequencies known to the transmitter and the receiver. This technique is used in the CDMA (code division multiple access) systems\, and has many civilian and military applications. For successful transmission minimizing signal interference\, we want to use sets of digital frequency sequences with minimal Hamming cross-correlation\, which measures frequency overlaps with time shifts between two different sequences. We discuss a construction of a new family of one-coincidence sequences like this coming from some basic arithmetic of finite fields\, which have some nice properties. This is joint work with Adib Shaar\, and this talk is dedicated to his memory.
URL:https://colleges.claremont.edu/ccms/event/applied-math-talk-given-by-prof-lenny-fukshansky/
LOCATION:Emmy Noether Room\, Millikan 1021\, Pomona College\, 610 N. College Ave.\, Claremont\, California\, 91711
CATEGORIES:Applied Math Seminar
GEO:34.099908;-117.7142522
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BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20181113T121500
DTEND;TZID=America/Los_Angeles:20181113T131000
DTSTAMP:20260505T030113
CREATED:20180912T174329Z
LAST-MODIFIED:20181105T225953Z
UID:551-1542111300-1542114600@colleges.claremont.edu
SUMMARY:Cayley digraphs of matrix rings over finite fields (Yesim Demiroglu\, HMC)
DESCRIPTION:In this talk we use the unit-graphs and the special unit-digraphs on matrix rings to show that every n x n nonzero matrix over F_q can be written as a sum of two SL_n-matrices when n>1. We compute the eigenvalues of these graphs in terms of Kloosterman sums and study their spectral properties; and prove that if X is a subset of Mat_2 (F_q) with size |X| > (2 q^3 \sqrt{q})/(q – 1)\, then X contains at least two distinct matrices whose difference has determinant $\alpha$ for any $\alpha \in F_q^*$. Using this result we also prove a sum-product type result: if $A\,B\,C\,D \subseteq F_q$ satisfy $\sqrt[4]{|A||B||C||D|}= \Omega (q^{0.75})$ as q tends to infinity\, then $(A – B)(C – D)$ equals all of $F_q$. In particular\, if A is a subset of F_q with cardinality $|A| > \frac{3}{2} q^{3/4}$\, then the subset $(A – A) (A – A)$ equals all of $F_q$. We also recover a classical result: every element in any finite ring of odd order can be written as the sum of two units. This talk should be accessible to undergraduates with some background in linear algebra.
URL:https://colleges.claremont.edu/ccms/event/antc-talk-by-yesim-demiroglu-hmc/
LOCATION:Millikan 2099\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
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DTSTART;TZID=America/Los_Angeles:20181114T161500
DTEND;TZID=America/Los_Angeles:20181114T171500
DTSTAMP:20260505T030113
CREATED:20180928T171315Z
LAST-MODIFIED:20181109T164101Z
UID:849-1542212100-1542215700@colleges.claremont.edu
SUMMARY:Coupled Mechanochemical Multiscale Model to Study the Growth Regulation and Morphogenesis during Tissue Development (Weitao Chen\, UCR)
DESCRIPTION:Growth regulation and pattern formation are two main problems in developmental biol-\nogy. How cells know when to stop growing at certain tissue size with specic shape is an important\nquestion in both developmental biology and regenerative medicine\, and it is still an unsolved mystery\nin many systems. During the growth\, tissues and organs always exhibit self-government to some\nextent. Cells stop proliferation precisely when the intended size of the tissue or organ is achieved.\nMeanwhile\, dierential cell shapes in space are integrated to give rise to well-organized overall struc-\nture. Uncontrolled growth of the cells in tissues or organs will lead to abnormal development or\nfatal diseases such as cancer. Therefore\, developing an extensible predictive mathematical model\nfor exploring the mechanisms involved in the tissue development is signicant for understanding\nthe fundamental principles in developmental biology\, with a broad range of applications from tissue\nengineering to biomanufacturing and biotech industry. Experimental data suggests that mechanical\nproperties of cells and chemical signals in both intracellular and extracellular domains play critical\nroles in size control and shape formation. Here we develop a multiscale\, mechochemical coupled\nmodel of tissue growth control. This rst-of-class modeling approach provides sub-cellular details\nto both mechanical properties and chemical signaling during tissue growth. This model is applied\nto test competing hypotheses in the eld to resolve the highly debated question of how tissues reach\ntheir nal size\, as well as how the tissue shape is determined simultaneously.
URL:https://colleges.claremont.edu/ccms/event/weitao-chen-ucr/
LOCATION:Argue Auditorium\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
ORGANIZER;CN="Ali Nadim":MAILTO:ali.nadim@cgu.edu
GEO:34.0999157;-117.7142668
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