Generated with sparks and insights from 8 sources
Based on my research, I can provide you with information about mathematicians and researchers who apply fractal/symmetry concepts systematically, particularly with regard to Cantor sets and their variations. Here are the key individuals with publicly available contact information:
Researchers Who "Fractalize Everything" - Contact Information
1. Richard Taylor - University of Oregon1
- Email: rpt@uoregon.edu
- Phone: 541-346-4741
- Office: 173 Willamette Hall, University of Oregon, Eugene OR 97403-1205
- Approach: Taylor has the most comprehensive approach to applying fractals across disciplines. He systematically applies fractal concepts to:
- Psychology and neuroscience (stress reduction through fractal viewing)
- Art and architecture (biophilic design, fractal carpets)
- Product design (solar panels, commercial applications)
- Medical applications (anxiety reduction in clinical settings)
- Space exploration (astronaut well-being)
- Virtual and tactile experiences
- Research Focus: Interdisciplinary fractal applications using eye-tracking, qEEG, and fMRI to demonstrate physiological responses to fractals
2. Kenneth Falconer - University of St Andrews2
- Email: kjf@st-andrews.ac.uk
- Position: Professor of Mathematics
- Research: Over 130 papers on fractal geometry, including self-affine sets, dimensional analysis, and applications to finance and natural phenomena
- Books: Author of "Fractal Geometry: Mathematical Foundations and Applications" (definitive textbook)
- Approach: Systematic mathematical framework for fractal analysis across multiple domains
3. Balázs Bárány - Budapest University of Technology3
- Email: barany.balazs@ttk.bme.hu
- Phone: +36 1 463 1673
- Position: Associate Professor, Head of Fractal Geometry Research Group
- Address: H-1111 Budapest, Műegyetem rkp 3, Hungary
- Research: Leading a comprehensive fractal geometry research group studying structure, regularity properties, and dimensions of fractal shapes
4. Cantor Set Specialists with Systematic Approaches:
Ashish Kumar - Central University of Haryana4
- Email: drashishkumar108@gmail.com
- Affiliation: Department of Mathematics, Central University of Haryana, India
- Focus: Systematic study of Cantor set variants using Iterated Function Systems
Mamta Rani - Central University of Rajasthan5
- Email: mamtarsingh@gmail.com (also mamtarsingh@curaj.ac.in)
- Position: Professor and Dean, Department of Computer Science
- Research: Fractal and chaos theory applications, computer graphics of natural objects
Renu Chugh - Maharshi Dayanand University
- Email: chugh.r1@gmail.com
- Department: Mathematics, Maharshi Dayanand University, Rohtak, India
- Research: Collaborative work on Cantor set variations
5. Specialized Inverted Cantor Set Researchers:
Dhurjati Prasad Datta - University of North Bengal6
- Email: dp-datta@yahoo.com
- Department: Mathematics, University of North Bengal, Siliguri, India
- Approach: Developed scale-invariant, non-archimedean analysis specifically for zero-measure Cantor sets
- Innovation: Created ultrametric valuation framework for fractal analysis
Mohsen Soltanifar - University of Toronto7
- Email: mohsen.soltanifar@alumni.utoronto.ca
- Affiliation: Biostatistics Division, Dalla Lana School of Public Health
- Research: Comprehensive survey of deterministic Cantor sets with systematic set-theoretic approaches
6. Additional Fractal Researchers:
Sergiy Merenkov - CUNY Graduate Center8
- Email: smerenkov@ccny.cuny.edu
- Phone: +1 212-817-8561
- Research: Fractal geometry and dynamics
Key Characteristics of These Researchers:
- Richard Taylor stands out as the most comprehensive "fractalize everything" researcher, applying fractal principles across the widest range of disciplines
- Kenneth Falconer provides the most systematic mathematical foundation for fractal applications
- The Cantor set specialists (Ashish, Mamta Rani, Renu Chugh) have developed specific systematic approaches to your area of interest
- Dhurjati Prasad Datta has created novel analytical frameworks specifically for inverted/zero-measure Cantor sets
These researchers have publicly available contact information and demonstrate systematic approaches to applying fractal/symmetry concepts broadly across multiple domains, with particular strength in Cantor set variations as you requested.
Appendix: Supplementary Video Resources
<div class="-md-ext-youtube-widget"> { "title": "Fractals and Scaling: Box-counting and the Cantor set", "link": "https://www.youtube.com/watch?v=aMpL4GUyiSg", "channel": { "name": ""}, "published_date": "Mar 7, 2019", "length": "3:34" }</div>
<div class="-md-ext-youtube-widget"> { "title": "journey into fractals: the Cantor set and ternary expansion.", "link": "https://www.youtube.com/watch?v=aZUMjCRIqyA", "channel": { "name": ""}, "published_date": "Jul 15, 2023", "length": "20:58" }</div>
<div class="-md-ext-youtube-widget"> { "title": "The Cantor Set and Geometric Series", "link": "https://www.youtube.com/watch?v=SgiYkiXPibk", "channel": { "name": ""}, "published_date": "Feb 18, 2013", "length": "15:32" }</div>
Generated with sparks and insights from 8 sources
Based on my research, I can provide you with information about mathematicians and researchers who apply fractal/symmetry concepts systematically, particularly with regard to Cantor sets and their variations. Here are the key individuals with publicly available contact information:
Researchers Who "Fractalize Everything" - Contact Information
1. Richard Taylor - University of Oregon1
- Email: rpt@uoregon.edu
- Phone: 541-346-4741
- Office: 173 Willamette Hall, University of Oregon, Eugene OR 97403-1205
- Approach: Taylor has the most comprehensive approach to applying fractals across disciplines. He systematically applies fractal concepts to:
- Psychology and neuroscience (stress reduction through fractal viewing)
- Art and architecture (biophilic design, fractal carpets)
- Product design (solar panels, commercial applications)
- Medical applications (anxiety reduction in clinical settings)
- Space exploration (astronaut well-being)
- Virtual and tactile experiences
- Research Focus: Interdisciplinary fractal applications using eye-tracking, qEEG, and fMRI to demonstrate physiological responses to fractals
2. Kenneth Falconer - University of St Andrews2
- Email: kjf@st-andrews.ac.uk
- Position: Professor of Mathematics
- Research: Over 130 papers on fractal geometry, including self-affine sets, dimensional analysis, and applications to finance and natural phenomena
- Books: Author of "Fractal Geometry: Mathematical Foundations and Applications" (definitive textbook)
- Approach: Systematic mathematical framework for fractal analysis across multiple domains
3. Balázs Bárány - Budapest University of Technology3
- Email: barany.balazs@ttk.bme.hu
- Phone: +36 1 463 1673
- Position: Associate Professor, Head of Fractal Geometry Research Group
- Address: H-1111 Budapest, Műegyetem rkp 3, Hungary
- Research: Leading a comprehensive fractal geometry research group studying structure, regularity properties, and dimensions of fractal shapes
4. Cantor Set Specialists with Systematic Approaches:
Ashish Kumar - Central University of Haryana4
- Email: drashishkumar108@gmail.com
- Affiliation: Department of Mathematics, Central University of Haryana, India
- Focus: Systematic study of Cantor set variants using Iterated Function Systems
Mamta Rani - Central University of Rajasthan5
- Email: mamtarsingh@gmail.com (also mamtarsingh@curaj.ac.in)
- Position: Professor and Dean, Department of Computer Science
- Research: Fractal and chaos theory applications, computer graphics of natural objects
Renu Chugh - Maharshi Dayanand University
- Email: chugh.r1@gmail.com
- Department: Mathematics, Maharshi Dayanand University, Rohtak, India
- Research: Collaborative work on Cantor set variations
5. Specialized Inverted Cantor Set Researchers:
Dhurjati Prasad Datta - University of North Bengal6
- Email: dp-datta@yahoo.com
- Department: Mathematics, University of North Bengal, Siliguri, India
- Approach: Developed scale-invariant, non-archimedean analysis specifically for zero-measure Cantor sets
- Innovation: Created ultrametric valuation framework for fractal analysis
Mohsen Soltanifar - University of Toronto7
- Email: mohsen.soltanifar@alumni.utoronto.ca
- Affiliation: Biostatistics Division, Dalla Lana School of Public Health
- Research: Comprehensive survey of deterministic Cantor sets with systematic set-theoretic approaches
6. Additional Fractal Researchers:
Sergiy Merenkov - CUNY Graduate Center8
- Email: smerenkov@ccny.cuny.edu
- Phone: +1 212-817-8561
- Research: Fractal geometry and dynamics
Key Characteristics of These Researchers:
- Richard Taylor stands out as the most comprehensive "fractalize everything" researcher, applying fractal principles across the widest range of disciplines
- Kenneth Falconer provides the most systematic mathematical foundation for fractal applications
- The Cantor set specialists (Ashish, Mamta Rani, Renu Chugh) have developed specific systematic approaches to your area of interest
- Dhurjati Prasad Datta has created novel analytical frameworks specifically for inverted/zero-measure Cantor sets
These researchers have publicly available contact information and demonstrate systematic approaches to applying fractal/symmetry concepts broadly across multiple domains, with particular strength in Cantor set variations as you requested.