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website update: 2025-07-20 00:10:55
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‎.gitignore‎

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# Uncomment if you don't want to track these
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# assets/pdfs/
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# assets/images/personal/
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.obsidian/workspace*.json
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/vault/.obsidian/workspace*.json

‎Gemfile‎

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@@ -27,4 +27,6 @@ gem "wdm", "~> 0.1.1", :platforms => [:mingw, :x64_mingw, :mswin]
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# Lock `http_parser.rb` gem to `v0.6.x` on JRuby builds since newer versions of the gem
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# do not have a Java counterpart.
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gem "http_parser.rb", "~> 0.6.0", :platforms => [:jruby]
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gem "http_parser.rb", "~> 0.6.0", :platforms => [:jruby]
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gem 'bigdecimal'

‎_config.yml‎

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@@ -120,13 +120,14 @@ exclude:
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- vendor/ruby/
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- README.md
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- .obsidian/
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- vault/templates
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# Academic-specific settings
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academic:
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show_publications_on_home: true
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publications_limit: 5
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show_recent_talks: true
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cv_pdf_path: "/assets/pdfs/cv.pdf"
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cv_pdf_path: "vault/assets/cv.pdf"
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research_interests:
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- "Extreme value theory"
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- "Large deviations"

‎vault/.obsidian/plugins/templater-obsidian/data.json‎

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"user_scripts_folder": "",
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"enable_folder_templates": true,
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"folder_templates": [
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{
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"folder": "_teaching",
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"template": "templates/Teaching.md"
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},
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{
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"folder": "_publications",
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"template": "templates/Publication.md"
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},
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{
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"folder": "_education",
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"template": "templates/Education.md"
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},
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{
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"folder": "_talks",
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"template": "templates/conference template.md"
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"template": "templates/Talk.md"
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},
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{
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"folder": "_experience",
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"template": "templates/Experience.md"
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},
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{
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"folder": "_pages",
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"template": "templates/Page.md"
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}
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],
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"enable_file_templates": false,

‎vault/.obsidian/workspace.json‎

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"type": "split",
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"children": [
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{
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"id": "8f62902c89df5c7e",
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"id": "3488b03f11756a12",
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"type": "tabs",
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"children": [
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{
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"id": "ce5a6ffa911da9bb",
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"id": "d26e59dbf8d45867",
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"type": "leaf",
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"state": {
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"type": "markdown",
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"state": {
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"file": "_talks/2025-invited-wroclaw.md",
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"file": "_publications/2025-nanotubes.md",
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"mode": "source",
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"source": false
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},
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"icon": "lucide-file",
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"title": "2025-invited-wroclaw"
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"title": "2025-nanotubes"
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}
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}
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]
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"templater-obsidian:Templater": false
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}
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},
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"active": "ce5a6ffa911da9bb",
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"active": "d26e59dbf8d45867",
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"lastOpenFiles": [
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"to improve with the template.md",
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"_pages/talks.md",
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"_pages/research.md",
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"_publications/2025-tvd-and-kld.md",
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"_publications/2025-nanotubes.md",
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"_education/2024-phd-actuarial-science.md",
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"_pages/teaching.md",
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"_pages/publications.md",
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"_education/2020-msc-physics.md",
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"_education/2018-bsc-physics.md",
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"_pages/talks.md",
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"_pages/cv.md",
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"templates/Page.md",
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"templates/Experience.md",
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"templates/Talk.md",
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"templates/Education.md",
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"templates/Publication.md",
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"templates/Teaching.md",
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"_education/2021-phd-probability-and-statistics.md",
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"assets/cv.pdf",
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"assets/slides/2025-slides-SPA-conference.pdf",
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"_talks/2025-invited-wroclaw.md",
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"_temp/contact 1.md",
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"to improve with the template.md",
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"_pages/research.md",
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"Clippings/IS15 Extremes of Gaussian and related random fields SPA 2025.md",
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"Clippings",
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"assets/slides/2025-slides-SPA-conference.pdf",
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"templates/conference template.md",
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"_pages/teaching.md",
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"assets/slides",
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"assets",
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"_temp/2024-neural-networks-optimization.md",
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"_temp/2020-professor-university.md",
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"_temp/2024-fall-machine-learning.md",
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"2024-06-20.md",
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"templates",
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"_pages/contact.md",
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"_education/2024-phd-actuarial-science.md",
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"_pages/index.md",
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"_pages/cv.md",
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"_education/2021-phd-probability-and-statistics.md",
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"_temp/talks.md",
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"_temp/contact 1.md",
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"_temp",
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"_teaching/2024-fall-machine-learning 1.md",
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"_pages",
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"pages/teaching.md",
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"pages/talks.md",
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"pages/research.md",
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"pages/publications.md",
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"pages/index.md",
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"pages/cv.md",
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"pages"
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]
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}

‎vault/_education/2018-bsc-physics.md‎

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---
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degree: B.Sc.
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field: Physics
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institution: Saint Petersburg State University
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location: Saint Petersburg, Russia
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graduation_year: 2018
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thesis_title: Limit theorems on the convergence of functionals of a random walk to theCauchy problem solution for the non-stationary Schrödinger equation
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advisor: Prof. Natalia Smorodina
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committee:
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gpa: 4.89/5.0
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honors: with honors
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relevant_coursework:
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- Mathematical Physics
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- Quantum Mechanics
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- Functional Analysis
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---
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# Untitled
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## Thesis/Dissertation
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**Title:** [Thesis Title]
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**Abstract:** Brief summary of the thesis research, methodology, and contributions.
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## Coursework
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Key courses that shaped academic foundation:
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- **Course 1:** Description
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- **Course 2:** Description
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- **Course 3:** Description
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## Research Experience
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Academic research conducted during studies.
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## Awards and Honors
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- Honor 1
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- Honor 2
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- Scholarship/Fellowship details

‎vault/_education/2020-msc-physics.md‎

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---
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degree: M.Sc.
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field: Physics
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institution: Saint Petersburg State University
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location: Saint Petersburg, Russia
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graduation_year: 2020
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thesis_title: Probabilistic representations of initial-boundary value problem solutions for the Schrödinger equation in a bounded domain
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advisor: Prof. Natalia Smorodina
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committee:
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gpa: 5.0/5.0
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honors: with honors
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relevant_coursework:
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- Markov processes
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- Random operators
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- Lie theory
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---
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# Untitled
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## Thesis/Dissertation
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**Title:** [Thesis Title]
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**Abstract:** Brief summary of the thesis research, methodology, and contributions.
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## Coursework
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Key courses that shaped academic foundation:
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- **Course 1:** Description
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- **Course 2:** Description
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- **Course 3:** Description
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## Research Experience
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Academic research conducted during studies.
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## Awards and Honors
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- Honor 1
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- Honor 2
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- Scholarship/Fellowship details

‎vault/_education/2021-phd-probability-and-statistics.md‎

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## Thesis/Dissertation
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**Title:** An operator approach to constructing complex and reflecting stochastic processes
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**Title:** An operator approach to constructing complex and reflecting stochastic processes.
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**Abstract:** This dissertation investigates semigroups and generators of Markov processes confined to a bounded domain $D \subset \mathbb{R}^d$.

‎vault/_pages/teaching.md‎

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`todo`
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## Current Courses
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{% assign current_courses = site.teaching | where_exp: "course", "course.year >= 2024" | sort: "semester" %}
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{% if current_courses.size > 0 %}
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## Current Courses
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{% for course in current_courses %}
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### {{ course.title }} ({{ course.course_code }})
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*{{ course.semester }} {{ course.year }} • {{ course.level }} Level*
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*Current course information will be displayed here.*
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{% endif %}
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%% ## Teaching Philosophy
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{% if teaching-philosophy %}
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## Teaching Philosophy
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My approach to teaching is built on several core principles:
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- **Industry Connections**: Bringing in guest speakers and industry case studies
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- **Cutting-edge Research**: Incorporating recent developments and ongoing research
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- **Practical Skills**: Teaching tools and methodologies used in professional settings
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%%
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## Past Courses
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{% endif %}
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{% assign past_courses = site.teaching | where_exp: "course", "course.year < 2024" | sort: "year" | reverse %}
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{% if past_courses.size > 0 %}
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## Past Courses
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<div class="cv-section">
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{% for course in past_courses %}
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<div class="cv-item">

‎vault/_publications/2025-nanotubes.md‎

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---
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layout: publication
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title: Random eigenvalues of nanotubes
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date: 2025-07-19
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year: 2025
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authors:
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- Artur Bille
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- Victor Buchstaber
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- Pavel Ievlev
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- Svyatoslav Novikov
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- Evgeny Spodarev
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venue: "Journal of Physics A: Mathematical and Theoretical"
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type: academic
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status: published
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abstract:
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keywords:
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doi: 10.1088/1751-8121/adb54a
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arxiv: https://arxiv.org/abs/2408.14313
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pdf:
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code:
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website:
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bibtex: |-
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@article {MR4887136,
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AUTHOR = {Bille, Artur and Buchstaber, Victor and Ievlev, Pavel and Novikov, Svyatoslav and Spodarev, Evgeny},
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TITLE = {Random eigenvalues of nanotubes},
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JOURNAL = {J. Phys. A},
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FJOURNAL = {Journal of Physics. A. Mathematical and Theoretical},
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VOLUME = {58},
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YEAR = {2025},
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NUMBER = {10},
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PAGES = {Paper No. 105202, 34},
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ISSN = {1751-8113},
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MRCLASS = {05C50 (33C10 81Q35)},
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MRNUMBER = {4887136}
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}
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---
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The hexagonal lattice and its dual, the triangular lattice, serve as powerful models for comprehending the atomic and ring connectivity, respectively, in *graphene* and *carbon $(p,q)$-nanotubes*. The chemical and physical attributes of these two carbon allotropes are closely linked to the average number of closed paths of different lengths $k\in\mathbb{N}_0$ on their respective graph representations. Considering that a carbon $(p,q)$-nanotube can be thought of as a graphene sheet rolled up in a matter determined by the *chiral vector* $(p,q)$, our findings are based on the study of *random eigenvalues* of both the hexagonal and triangular lattices presented in [bille2023random]. This study reveals that for any given *chiral vector* $(p,q)$, the sequence of counts of closed paths forms a moment sequence derived from a functional of two independent uniform distributions. Explicit formulas for key characteristics of these distributions, including probability density function (PDF) and moment generating function (MGF), are presented for specific choices of the chiral vector. Moreover, we demonstrate that as the *circumference* of a $(p,q)$-nanotube approaches infinity, i.e., $p+q\rightarrow \infty$, the $(p,q)$-nanotube tends to converge to the hexagonal lattice with respect to the number of closed paths for any given length $k$, indicating weak convergence of the underlying distributions.

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