Welcome | Department of Mathematicsbbm3/web_pdfs/economist... · 2006. 2. 3. · A mathematical...

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Transcript of Welcome | Department of Mathematicsbbm3/web_pdfs/economist... · 2006. 2. 3. · A mathematical...

Page 1: Welcome | Department of Mathematicsbbm3/web_pdfs/economist... · 2006. 2. 3. · A mathematical maverick Hokusai's glimpse.„ The father of fractals Benoit Mandelbrot's unusual multidisciplinary
Page 2: Welcome | Department of Mathematicsbbm3/web_pdfs/economist... · 2006. 2. 3. · A mathematical maverick Hokusai's glimpse.„ The father of fractals Benoit Mandelbrot's unusual multidisciplinary

Earth's relief, shape and fractal dimension of coastlines ...users.math.yale.edu/~bbm3/web_pdfs/076stochasticModels.pdf · Earth's relief, shape and fractal dimension of coastlines,

Earth's relief, shape and fractal dimension of coastlines ...users.math.yale.edu/~bbm3/web_pdfs/076stochasticModels.pdf · Earth's relief, shape and fractal dimension of coastlines,

users.math.yale.eduusers.math.yale.edu/~bbm3/web_pdfs/multifractalMeasures.pdf · in Geophysics and in Other Sciences The topic of multifractals is bound to become of increasing importance

users.math.yale.eduusers.math.yale.edu/~bbm3/web_pdfs/multifractalMeasures.pdf · in Geophysics and in Other Sciences The topic of multifractals is bound to become of increasing importance

LSE 2012 Extremes, Bursts and Mandelbrot's Eyes ... and Five Ways to Mis-estimate Risk

LSE 2012 Extremes, Bursts and Mandelbrot's Eyes ... and Five Ways to Mis-estimate Risk

Fractals, dimension, and formal languages · calculate the Hausdorff dimension and Hausdorff measure of such sets Since the appearence of Mandelbrot's [Ma77] book "Fractals, Form,

Fractals, dimension, and formal languages · calculate the Hausdorff dimension and Hausdorff measure of such sets Since the appearence of Mandelbrot's [Ma77] book "Fractals, Form,

users.math.yale.edubbm3/web_pdfs/108transfer... · 2006-02-03 · ticular, statistical mechanical systems that undergo high-order phase transitions are self-similar below the correlation

users.math.yale.edubbm3/web_pdfs/108transfer... · 2006-02-03 · ticular, statistical mechanical systems that undergo high-order phase transitions are self-similar below the correlation

2014 Wroclaw Mandelbrot's Other Model of 1/f Noise

2014 Wroclaw Mandelbrot's Other Model of 1/f Noise

users.math.yale.edubbm3/web_pdfs/081fractalsandturbulence.pdffrom (a) an initial polygon, and (b) a standard polygon . The first construction stage replaces each side of the initial

users.math.yale.edubbm3/web_pdfs/081fractalsandturbulence.pdffrom (a) an initial polygon, and (b) a standard polygon . The first construction stage replaces each side of the initial

Acr9F - Department of Mathematics | Department of …users.math.yale.edu/~bbm3/web_pdfs/encyclopediaBritannica.pdf · They are computer-generated and computer-plotted repre- ... atonal

Acr9F - Department of Mathematics | Department of …users.math.yale.edu/~bbm3/web_pdfs/encyclopediaBritannica.pdf · They are computer-generated and computer-plotted repre- ... atonal

Welcome | Department of Mathematicsusers.math.yale.edu/mandelbrot/web_pdfs/multifractalMeasures.pdf · The Example of Copper Correspondent to the simplest fractals, the basic idea

Welcome | Department of Mathematicsusers.math.yale.edu/mandelbrot/web_pdfs/multifractalMeasures.pdf · The Example of Copper Correspondent to the simplest fractals, the basic idea

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historyofscience.com Jeremy Norman & Co., Inc. Norman ... Scope of Benoit Mandelbrot's Wor… · 1 ® 1. The Scope of Benoît Mandelbrot’s Work and its Influence Why is geometry

historyofscience.com Jeremy Norman & Co., Inc. Norman ... Scope of Benoit Mandelbrot's Wor… · 1 ® 1. The Scope of Benoît Mandelbrot’s Work and its Influence Why is geometry

Lognormal hypothesis and distribution of energy ...users.math.yale.edu/~bbm3/web_pdfs/064lognormalHypothesis.pdf · of energy dissipation in intermittent turbulence ... many independent

Lognormal hypothesis and distribution of energy ...users.math.yale.edu/~bbm3/web_pdfs/064lognormalHypothesis.pdf · of energy dissipation in intermittent turbulence ... many independent

A PUBLICATION OF THEchambermaster.blob.core.windows.net/.../CMS/...Web_PDFs/MagWe… · This business take on speed dating involves participants meeting and mingling with other business

A PUBLICATION OF THEchambermaster.blob.core.windows.net/.../CMS/...Web_PDFs/MagWe… · This business take on speed dating involves participants meeting and mingling with other business

Welcome | Department of Mathematicsusers.math.yale.edu/mandelbrot/web_pdfs/newscientist.pdf · to symbol ise the geometry of fractals, patterns whose sha pe stays the same whatever

Welcome | Department of Mathematicsusers.math.yale.edu/mandelbrot/web_pdfs/newscientist.pdf · to symbol ise the geometry of fractals, patterns whose sha pe stays the same whatever

WHAT KIND OF A WAVE IS HOKUSAI'S GREAT WAVE OFF ...

WHAT KIND OF A WAVE IS HOKUSAI'S GREAT WAVE OFF ...

Computer experiments with fractional Gaussian noises. Part ...users.math.yale.edu/~bbm3/web_pdfs/055computerExperimentsPart1.pdf · Computer experiments with fractional Gaussian noises.

Computer experiments with fractional Gaussian noises. Part ...users.math.yale.edu/~bbm3/web_pdfs/055computerExperimentsPart1.pdf · Computer experiments with fractional Gaussian noises.

Chapter 6 ENERGY CONSIDERATION - Google …faculty.polytechnic.org/cfletcher/Phys With Calc_Vol 1_ web_pdfs... · Chapter 6 ENERGY CONSIDERATION Introduction: 1.) ... A negative sign

Chapter 6 ENERGY CONSIDERATION - Google …faculty.polytechnic.org/cfletcher/Phys With Calc_Vol 1_ web_pdfs... · Chapter 6 ENERGY CONSIDERATION Introduction: 1.) ... A negative sign

Some Reasons for the Effectiveness of Fractals in ...users.math.yale.edu/mandelbrot/web_pdfs/FrameBook_Chapter1.pdf · prove. There is a supply of unsolved, elementary problems that

Some Reasons for the Effectiveness of Fractals in ...users.math.yale.edu/mandelbrot/web_pdfs/FrameBook_Chapter1.pdf · prove. There is a supply of unsolved, elementary problems that

Acr7C - Yale Universityusers.math.yale.edu/~bbm3/web_pdfs/094geometricImplementation.pdf · critical temperature Tc decreasing to zero at the lower critical dimensionality = 1. Fractals,

Acr7C - Yale Universityusers.math.yale.edu/~bbm3/web_pdfs/094geometricImplementation.pdf · critical temperature Tc decreasing to zero at the lower critical dimensionality = 1. Fractals,

Earth's relief, shape and fractal dimension of …users.math.yale.edu/users/mandelbrot/web_pdfs/076stochasticModels.pdfProc. National Academy of Sciences (USA) 72, 1975, 3825-3838

Earth's relief, shape and fractal dimension of …users.math.yale.edu/users/mandelbrot/web_pdfs/076stochasticModels.pdfProc. National Academy of Sciences (USA) 72, 1975, 3825-3838