Mathematical SETI

Statistics, Signal Processing, Space Missions

Authors:

ISBN: 978-3-642-27436-7 (Print) 978-3-642-27437-4 (Online)

Table of contents (30 chapters)

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  1. Front Matter

    Pages i-lii

  2. SETI statistics

    1. Front Matter

      Pages 1-1

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      Book Chapter

      Pages 3-72

      The statistical Drake equation

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      Book Chapter

      Pages 73-109

      Letting Maxima do the calculations

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      Pages 111-129

      How many planets for man and aliens?

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      Pages 131-144

      Statistical Fermi paradox and Galactic travels

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      Book Chapter

      Pages 145-153

      How long does a civilization live?

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      Book Chapter

      Pages 155-184

      Life-span modeling by finite b -lognormals

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      Book Chapter

      Pages 185-213

      Civilizations as finite b -lognormals: Mathematical history

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      Book Chapter

      Pages 215-237

      A mathematical model for evolution and SETI

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      Book Chapter

      Pages 239-246

      Societal statistics by the statistical Drake equation

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      Book Chapter

      Pages 247-291

      Cubics of historical recovery

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      Book Chapter

      Pages 293-331

      Exponential evolution in time as a geometric Brownian motion

  3. Space Missions to Exploit Gravitational Lensing

    1. Front Matter

      Pages 333-333

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      Book Chapter

      Pages 335-347

      So much gain at 550 AU

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      Book Chapter

      Pages 349-360

      FOCAL mission to 1,000AU as an interstellar precursor

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      Book Chapter

      Pages 361-375

      Belt of focal spheres between 550 and 17,000 AU

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      Book Chapter

      Pages 377-392

      Galactic Internet by star gravitational lensing

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      Pages 393-407

      Extragalactic Internet by black hole gravitational lensing

  4. KLT for optimal signal processing

    1. Front Matter

      Pages 409-409

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      Book Chapter

      Pages 411-448

      A simple introduction to the KLT and BAM-KLT

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      Book Chapter

      Pages 449-469

      KLT of radio signals from relativistic spaceships in uniform and decelerated motion

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      Book Chapter

      Pages 471-490

      KLT of radio signals from relativistic spaceships in hyperbolic motion

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      Book Chapter

      Pages 491-516

      KLT of radio signals from relativistic spaceships in arbitrary motion

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