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Marek R Rychlik

  • Professor, Mathematics
  • Member of the Graduate Faculty
  • Professor, Applied Mathematics - GIDP
Contact
  • rychlik@arizona.edu
  • Bio
  • Interests
  • Courses
  • Scholarly Contributions

Degrees

  • PhD
    • University of California, Berkeley, Berkeley, US
  • Masters
    • University of Warsaw, Warsaw, PL

Work Experience

  • Xoralgo (2018 - Ongoing)
  • Qbit, LLC (2005 - 2008)
  • Qbit, LLC (2004 - 2005)
  • Institute for Advanced Study (1987 - 1989)
  • University of Washington Libraries (1984 - 1987)
  • University of Arizona, Tucson ()

Awards

  • IP PATENT COIN Award
    • TLA, Spring 2024
  • University of Arizona Patent Coins
    • UA Tech Launch Arizona (the office that commercializes inventions stemming from university research and innovation), Fall 2021

Licensure & Certification

  • C++ Programmer Certification (score in the 94th percentile), Brainbench (2007)
  • C Programmer Certification (score in the 97th percentile), Brainbench (2007)

Related Links

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Interests

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Courses

2025-26 Courses

  • Algorithms of Applied Math II
    APPL 589B (Spring 2026)
  • Algorithms of Applied Math II
    MATH 589B (Spring 2026)
  • Independent Study
    MATH 599 (Spring 2026)
  • Algorithms of Applied Math I
    APPL 589A (Fall 2025)
  • Algorithms of Applied Math I
    MATH 589A (Fall 2025)
  • Independent Study
    APPL 599 (Fall 2025)
  • Independent Study
    MATH 599 (Fall 2025)
  • Theory of Probability
    MATH 464 (Fall 2025)

2024-25 Courses

  • Algorithms of Applied Math II
    APPL 589B (Spring 2025)
  • Algorithms of Applied Math II
    MATH 589B (Spring 2025)
  • Dissertation
    MATH 920 (Spring 2025)
  • Independent Study
    MATH 599 (Spring 2025)
  • Algorithms of Applied Math I
    APPL 589A (Fall 2024)
  • Algorithms of Applied Math I
    MATH 589A (Fall 2024)
  • Dissertation
    MATH 920 (Fall 2024)
  • Theory of Probability
    MATH 464 (Fall 2024)

2023-24 Courses

  • Algorithms of Applied Math II
    MATH 589B (Spring 2024)
  • Dissertation
    MATH 920 (Spring 2024)
  • Honors Thesis
    DATA 498H (Spring 2024)
  • Theory of Statistics
    MATH 466 (Spring 2024)
  • Dissertation
    MATH 920 (Fall 2023)
  • Honors Thesis
    DATA 498H (Fall 2023)
  • Independent Study
    MATH 599 (Fall 2023)
  • Theory of Statistics
    MATH 466 (Fall 2023)

2022-23 Courses

  • Independent Study
    MATH 599 (Spring 2023)
  • Topics In Applied Math
    MATH 577 (Spring 2023)
  • Internship
    MATH 593 (Fall 2022)
  • Probability Math
    MATH 563 (Fall 2022)
  • Probability Math
    STAT 563 (Fall 2022)

2021-22 Courses

  • Appl Stochastic Process
    DATA 468 (Spring 2022)
  • Appl Stochastic Process
    MATH 468 (Spring 2022)
  • Appl Stochastic Process
    MATH 568 (Spring 2022)
  • Independent Study
    MATH 599 (Spring 2022)
  • Independent Study
    MATH 599 (Fall 2021)
  • Theory of Probability
    MATH 464 (Fall 2021)

2020-21 Courses

  • Dissertation
    MATH 920 (Spring 2021)
  • Independent Study
    MATH 499 (Spring 2021)
  • Independent Study
    MATH 599 (Spring 2021)
  • Theory of Probability
    MATH 464 (Spring 2021)
  • Banach+Hilbert Spaces
    MATH 528A (Fall 2020)
  • Dissertation
    MATH 920 (Fall 2020)
  • Independent Study
    MATH 599 (Fall 2020)

2019-20 Courses

  • Directed Research
    MATH 492 (Spring 2020)
  • Dissertation
    MATH 920 (Spring 2020)
  • Topics In Applied Math
    MATH 577 (Spring 2020)
  • Banach+Hilbert Spaces
    MATH 528A (Fall 2019)
  • Directed Research
    MATH 492 (Fall 2019)
  • Dissertation
    MATH 920 (Fall 2019)
  • Topics In Applied Math
    MATH 577 (Fall 2019)

2018-19 Courses

  • Combinatorial Math
    MATH 447 (Spring 2019)
  • Combinatorial Math
    MATH 547 (Spring 2019)
  • Dissertation
    MATH 920 (Spring 2019)
  • Independent Study
    MATH 599 (Spring 2019)
  • Dissertation
    MATH 920 (Fall 2018)
  • Independent Study
    MATH 599 (Fall 2018)
  • Topics In Applied Math
    MATH 577 (Fall 2018)

2017-18 Courses

  • Banach + Hilbert Spaces
    MATH 528B (Spring 2018)
  • Dissertation
    MATH 920 (Spring 2018)
  • Independent Study
    MATH 599 (Spring 2018)
  • Banach+Hilbert Spaces
    MATH 528A (Fall 2017)
  • Dissertation
    MATH 920 (Fall 2017)
  • Independent Study
    MATH 599 (Fall 2017)
  • Math Analysis Engineers
    MATH 322 (Fall 2017)

2016-17 Courses

  • Combinatorial Math
    MATH 447 (Spring 2017)
  • Combinatorial Math
    MATH 547 (Spring 2017)
  • Dissertation
    MATH 920 (Spring 2017)
  • Thesis
    MATH 910 (Spring 2017)
  • Banach+Hilbert Spaces
    MATH 528A (Fall 2016)
  • Dissertation
    MATH 920 (Fall 2016)
  • Topics In Applied Math
    MATH 577 (Fall 2016)

2015-16 Courses

  • Honors Independent Study
    MATH 399H (Spring 2016)
  • Honors Independent Study
    MATH 499H (Spring 2016)
  • Independent Study
    MATH 499 (Spring 2016)
  • Independent Study
    MATH 599 (Spring 2016)
  • Math Analysis Engineers
    MATH 322 (Spring 2016)

Related Links

UA Course Catalog

Scholarly Contributions

Chapters

  • More info
    This article contains a proof of the existence of SBR measures for the family of maps of the plane known as Lozi maps: L(x, y) = (1-a׀x׀+y, bx). We also prove that the number of SBR measures is finite. Our approach also yields invariant measures for other classes of dynamical systems like piecewise expanding mappings of an interval with infinitely many pieces and Holder derivative. Although known to specialists from my 1983 dissertation (University of California, Berkeley), the results presented in this article have never been published. I am delighted that the article found its place in the current volume, as the ideas of several papers that Jim Yorke co-authored or inspired played an important role in my approach.

Journals/Publications

  • More info
    In this paper we focus on three major task: 1) discussing our methods: Our method captures a portion of the data in DCD flowsheets, kidney perfusion data, and Flowsheet data captured peri-organ recovery surgery. 2) demonstrating the result: We built a comprehensive, analyzable database from 2022 OPTN data. This dataset is by far larger than any previously available even in this preliminary phase; and 3) proving that our methods can be extended to all the past OPTN data and future data. The scope of our study is all Organ Procurement and Transplantation Network (OPTN) data of the USA organ donors since 2008. The data was not analyzable in a large scale in the past because it was captured in PDF documents known as ``Attachments'', whereby every donor's information was recorded into dozens of PDF documents in heterogeneous formats. To make the data analyzable, one needs to convert the content inside these PDFs to an analyzable data format, such as a standard SQL database. In this paper we will focus on 2022 OPTN data, which consists of $\approx 400,000$ PDF documents spanning millions of pages. The entire OPTN data covers 15 years (2008--20022). This paper assumes that readers are familiar with the content of the OPTN data. [Journal_ref: ]

Presentations

Others

  • More info
    Invited Panelist on Discussion of Storage Technologies at Storage Technology Showcase Conference STS 2023 Engaging the Rising Generation of Storage Professionals

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