Brian Marcus, University of British Columbia

Research

channel capacity directed graph entropy factor map Gibbs measure g measure Markov chain road colouring problem

Latest funding

Topics in Symbolic Dynamics on the Interface with Information Theory, Ergodic Theory and Statistical Physics
NSERC · 2023 · Principal investigator
$100,000
Pacific Institute for the Mathematical Sciences
NSERC · 2022 · Co-investigator
$3,461,244
Computability of entropy and pressure for Markov systems
NSERC · 2017 · Principal investigator
$168,000

Topics in Symbolic Dynamics on the Interface with Information Theory, Ergodic Theory and Statistical Physics

Principal investigatorNSERC2023Discovery Grants Program - Individual

Principal investigators: Marcus, Brian

Keywords: channel capacity; markov chain; entropy; directed graph; shift of finite type; road colouring problem; factor map; gibbs measure; g measure; topological pressure

$100,000

Pacific Institute for the Mathematical Sciences

Co-investigatorNSERC2022Discovery Institutes Support Grants

Principal investigators: Yilmaz, Ozgur OY

Keywords: applied mathematics; collaborative research groups; highly qualified personnel; international collaboration; probability; pure mathematics; research network; statistics

$3,461,244

Computability of entropy and pressure for Markov systems

Principal investigatorNSERC2017Discovery Grants Program - Individual

Principal investigators: Marcus, Brian

$168,000

Entropy for Hidden Markov Processes and Markov Random Fields

Principal investigatorNSERC2012Discovery Grants Program - Individual

Principal investigators: Marcus, Brian

$210,000

Entropy rate of hidden markov chains and capacity and coding for input-constrained channels

Principal investigatorNSERC2007Discovery Grants Program - Individual

Principal investigators: Marcus, Brian

$165,825

Concatenating modulation encoders and error correction encoders

Principal investigatorNSERC2003Discovery Grants Program - Individual

Principal investigators: Marcus, Brian

$147,400

Computational resources for graduate and postdoctoral research

Co-investigatorNSERC2003Research Tools and Instruments - Category 1 (<$150,000)

Principal investigators: Friedman, Joel

$45,766

From CIHR, NSERC and SSHRC funding decisions: CIHR since 2008, NSERC since 1991 and SSHRC since 1998, including their latest published competition results.

Write to this professor

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Applying for

Mention their NSERC grant from 2023

Subject: Prospective PhD student: channel capacity Dear Professor Marcus, My name is [your name], and I am a [your current degree or role] at [your institution]. I am applying for a PhD position starting in [term and year]. Your research on channel capacity connects closely to my own work on [your research topic]. [One or two sentences on what you did and what you learned.] I also saw your NSERC-funded project "Topics in Symbolic Dynamics on the Interface with Information Theory, Ergodic Theory and Statistical Physics" (2023), and I would be glad to contribute to work in that direction. Are you accepting new PhD students for [term and year]? I have attached my CV and transcripts, and I would be glad to talk at a time that suits you. Thank you for your time. Kind regards, [your name]