**Lecturers:**

Rien van de Weygaert,

ZG 186, tel. 3634086, weygaert@astro.rug.nl

Olmo Piana,

ZG 185, tel. 3634085, piana@astro.rug.nl

**Lectures:**

The lecture schedule will be:

Tuesday 11:00-13:00 hoorcollege/lecture Kapteynborg 5419 - 237

Friday 13:00-15:00 hoorcollege/lecture Kapteynborg 5419 - 237/230/105/103

Fri. Sept. 7 Kapteynborg 5419 - 237

Fri. Sept. 14 Kapteynborg 5419 - 105

Fri. Sept. 21 Kapteynborg 5419 - 105

Fri. Sept. 28 Kapteynborg 5419 - 105

Fri. Oct. 5 Kapteynborg 5419 - 230

Fri. Oct. 12 Kapteynborg 5419 - 103

Fri. Oct. 19 Kapteynborg 5419 - 105

Friday 15:00-17:00 tutorial Kapteynborg 5419 - 161 (ZG161, Kapteyn Institute)

**Announcements:**

First lecture will be on tuesday September 4, the first tutorial on friday September 7

Tuesday September 18 (15:00-17:00): No Lecture - lecturer at IHP1 workshop Paris

Friday September 21 (13:00-15:00): No Lecture - lecturer at IHP1 workshop Paris

Tuesday September 25 (15:00-17:00): Werkcollege/Tutorial

Friday September 28 (13:00-15:00): Lecture - Kapteynborg 5419 - 105

Friday September 28 (15:00-17:00): 2nd Lecture - Kapteynborg 5419 - 161

Monday October 1 (17:00-19:00): Extra Lecture, room 5419.0161 (Kapteynborg)

Monday October 8 (17:00-19:00): Extra Lecture, room 5419.0105 (Kapteynborg)

Monday October 15 (17:00-19:00): Extra Lecture, room 5419.0161 (Kapteynborg)

Tuesday October 23 (15:00-17:00): No Lecture - lecturer at IHP2 workshop Paris

Friday October 26 (13:00-15:00): No Lecture - lecturer at IHP2 workshop Paris

Monday October 29 (17:00-19:00): Extra Lecture, room 5419.0161 (Kapteynborg)

Tuesday October 30 (15:00-17:00): question hour CSF, Kapteynborg, 5419-237

Wednesday October 31 (14:00-17:00): Tentamen/Exam, room 5419.0161 (Kapteynborg)

**Required Knowledge:**

It will be assumed you will have followed the basic lecture course "Cosmology". It is
not a formal requisite.

A recapitulation, overview and summary of the necessary knowledge of basic Cosmology (including some General Relativity),
will be the subject of the first week's lecture.

**Exam:**

The exam will consist of three/four elements:

written exam -- October 31, 2018: 14:00-17:00

tutorial assignments

2 computer assignments (part of tutorial)

**Course practicalities:**

Course Practicalities ppt

Course Practicalities pdf

**Literature:**

The course will be based upon the lecture notes, to be distributed during the course.

No specific book will be followed. Nonetheless, several books are recommended for the purpose

of the necessary backup information, overlapping substantially with parts of the lecture material:

Cosmology

Steven Weinberg

Oxford University Press, 2008

ISBN 978-0198526827

Cosmological Physics

John Peacock

Cambridge University Press, 1998

ISBN 0521422701 (paper)

The most up-to-date books focussing on structure and galaxy formation are:

Galaxy
Formation

Malcolm Longair

Astronomy & Astrophysics Library, 2nd ed., Springer

ISBN 9783540734772 (hb)

Galaxy Formation and
Evolution

H.J. Mo, F. van den Bosch, S.D.M. White

Cambridge Univ. Press

ISBN 978-0521857932 (hb)

In addition, THE book on basic cosmology that I will always warmly recommend (but which you are not required
to have) - one of the few textbooks really fun reading and a marvel of didactic writing -- is:

Introduction to Cosmology

Barbara Ryden

Addison Wesley, 2002

ISBN 0805389121 (hardcover)

**Interesting Scientific Publications **

During the course several papers relating to the lecture content will be handed out. Here you may download them.

BBKS Bardeen, Bond, Kaiser & Szalay 1986, Gaussian Random Fields

**Lecture Notes & Exam Material:**

The course is based upon the lecture notes. Below you find a listing of the notes.

The notes you can download in 3 forms:

* ppt file, a colour pdf (handout, 2 slices/page) and a greyscale pdf (handout, 2 slices/page)

* pdf file texed notes

* xerox copy, distributed during the course

Below you find a listing of the notes, and I will notify you when they become available. Subsequently, they
will be available for downloading.

Please check the notes you have. When you are missing one or more items contact me.

FRW cosmology ppt

FRW Cosmology pdf

study thoroughly: basic to understanding of the course

Overview: Large Scale Structure of the Universe pptx

Overview: Large Scale Structure of the Universe pdf

study thoroughly, overview of course material

Gravitational Instability: outline & overview pdf; hand-written notes

read thoroughly

Gravitational Instability & Linear perturbation Theory pdf

Key chapter !!!!!! You must be able to follow all equations
(and work with them).

Know by heart: comoving vs. physical perturbation quantities (eqn. 2,3,10,15,16,18), full and linear fluid equations (particularly: eqns. sect. 6.1), linear perturbation eqn.(eqn. 4), general
solution (eqn. 43), solution for EdS universe (eqn. 48), solution empty Universe (eqn. 54), structure freeze-out
time open Universe (eqn. 61, 62), general growth factor (eqn. 87, 88), relation matter and radiation density
fluctuation adiabatic regime (eqn. 106), gravitational potential fluctuation (eqn. 111), potential growth factor (eqn. 115),
peculiar gravity (eqn. 120), peculiar gravity growth factor (eqn. 121), peculiar velocity (eqn. 142), definition Peebles
factor (eqn. 143, 144), peculiar velocity growth factor (eqn. 148), peculiar velocity (eqn. 153, 158), definition bias
(eqn. 157), beta factor (eqn. 159)

Skip: section 7.3.5, 7.3.6

Cosmic Flows pptx

Cosmic Flows pdf

Read thoroughly.

Random Fields & Power Spectrum pptx

Random Fields & Power Spectrum pdf

Gaussian Random Fields hand-written notes

"Starting Conditions" cosmic structure formation

Important for exam !!!! Know by heart Fourier definitions, definition
power spectrum, relation power spectrum and correlation function, definition Gaussian distribution (in real space and
Fourier space), velocity and potential power spectrum. Important to be able to explain the influence of power spectrum
on development structure. Different contributions to power spectrum (primordial power spectrum: Harrison-Zeldovich
spectrum; transfer functions), normalization power spectrum, be able to explain features (slopes, maximum) in
CDM power spectrum).

Modes Primordial Fluctuations pdf, hand-written notes

Jeans Instability, Jeans Mass, Silk damping & Cosmic Mass Scales pdf, hand-written notes

Fluctuation modes (adiabatic, isocurvature, isothermal)

Jeans Instability, Jeans Mass, Silk Damping, Silk Mass, Meszaros effect

Important for exam !!!! Know by heart: fluid eqns. of motion including
pressure, definition Jean instability, Jeans mass, sound velocity in pre- and post-recombination era, perturbation evolution
during radiation- and mass-domination in pre-recombination era (both sub- and super Jeans mass scale), development horizon,
Jeans and Silk damping mass as function of time.

Going nonlinear pdf

Exam material:

Zel'dovich approximation

Not exam material: Lagrangian Perturbation Theory (sect. 3: but good to
read), Spherical Model, Ellipsoidal Model;

also skip sect. 4.2, 4.3

Know by heart: Zel'dovich, eqn. 31, 36, 49, 50, 52, 54, 63, 64, 71.

Structure Formation and Evolution: Zeldovich & Adhesion formalism pptx

Structure Formation and Evolution: Zeldovich & Adhesion formalism pdf

Exam material: study thoroughly

Zel'dovich approximation

Structure Formation and Evolution: Nbody simulations pptx

Structure Formation and Evolution: Nbody simulations pdf

Read thoroughly.

Large Scale Structure Galaxy Surveys pptx

Large Scale Structure Galaxy Surveys pdf

read thoroughly: while not necessary to know all details, you may
be asked to reproduce general facts on e.g. SDSS survey.
Necessary to know in detail: listing of "cosmic fossils" (and what they mean), galaxy luminosity function,
Schechter function, SURVEY DEPTH, survey strategies, photometric redshifts, magnitude- and volume-limited surveys, REDSHIFT SPACE DISTORTIONS ...

Statistical Measures of Large Scale Structure pptx

Statistical Measures of Large Scale Structure handout, pdf, colour

Exam: study thoroughly and in detail. Necessary to know the definition of
two-point correlation function, n-point correlation functions, ergodic theorem, ways to measure the correlation functions,
influence boundary and selection effects, power-law 2pt correlation function (parameters and values)

Structure, Formation and Evolution, Nbody simulations pptx

Structure, Formation and Evolution, Nbody simulations handout, pdf, colour

Exam: not to be studied, for information (due to late date of lecture, 2 days in advance of exam)

**Large Scale Structure movies**

It is highly instructive to study the following movies:

**Tentamen**

**Werkcollege (tutorials)**

The files with the werkcollege assignments will be attached.

You are expected to solve the assignments yourself that were not completed during the werkcollege/tutorial class, within 1 week after the tutorial class. Please turn them in to your tutor (ie. Saikat) !

Werkcollege 1: FRW cosmologyWerkcollege 2: Cosmological Fluid equations, physical & comoving

Werkcollege 3: Perturbation equations: coupled & Lagrangian

Werkcollege 4: Spherical Model

Werkcollege 5: Computer assignment 1: generating Gaussian random fields

Werkcollege 6: Zeldovich & Adhesion formalism

Werkcollege 7: Point Processes & Correlation Functions (computer assignment)

Werkcollege 8: Surveys

**Lecture Schedule:**

(provisional, changes possible)

Week | Dates Hoorcollege | Subject Hoorcollege | Dates Werkcollege | Subject Werkcollege |
---|---|---|---|---|

1 | September 4 (c) September 7 (c) |
Introduction: Cosmic Inventory: Large Scale Structure & Cosmic Structure Formation Galaxies, Groups, Clusters, Superclusters, IGM Cosmic Structure Formation Primordial Fluctuations & the Cosmic Microwave Background Basic Cosmology: Einstein Field Equation, Cosmological Principle, Robertson-Walker metric, Redshift, Cosmic Distances Friedman Equations Cosmic Epochs | September 7 (w) | FRW Cosmology FRW universe solutions Observational Cosmology |

2 | September 11 (c) September 14 (c) |
Gravitational Instability: (Linear) Perturbation Theory, Structure Growth Cosmic Components & Influence on Cosmic Structure Formation: Radiation, Matter: Baryonic Matter & Dark Matter Dark Energy Cosmic Flows | September 14 (w) | Perturbation TheoryGrowth Factors |

3 | September 18 (c) September 22 (c) |
Random Density & Velocity Fields Multidimensional Gaussian distributions Filtering Power Spectrum Random Fields & Power Spectrum Random Fields & Power Spectrum, pdf Random Fields & Power Spectrum, written, pdf Nonlinear Clustering & Structure Formation Hierarchical Clustering, Anisotropic Collapse and the Formation of Voids Spherical Model, Ellipsoidal Model |
September 22 (w) | Perturbation TheoryGrowth Factors |

4 | September 25 (c) September 28 (c) |
Lagrangian Perturbation Theory Zel'dovich formalism Adhesion approximation Phase Space Dynamics Phase Space Sheet Matter Scales Jeans Mass, Silk damping Cosmic Scenarios: Power spectra Cold Dark Matter, Hot Dark Matter non-Gaussian perturbations |
September 28(w) | Spherical Collapse & Model |

5 | October 2 (c) October 5 (c) |
Mapping the UniverseGalaxy sky surveys Galaxy redshift Surveys Lensing Surveys The Cosmic Web Observed Cosmic Web: Filaments, Sheets and Voids Clusters of Galaxies |
October 5 (w) | Power Spectrum & Spherical Model |

6 | October 9 (c) October 12 (c) |
Analysis of the Large Scale Structure Correlation functions Counts in Cells Power spectrum Higher-order statistics Topology: Genus, Minkowski functionals, Betti numbers Cosmic Web Analysis Tessellation Analysis, DTFE, Phase Space Sheet Multiscale Morphology Filter Watershed (Void Finder) Morse Theory, Skeleton \& Cosmic Spine | October 12 (w) | Two-point correlation function(computer task) |

7 | October 16 (c) October 19 (c) |
Hierarchical clustering:Press-Schechter and Excursion set formalism Peak-patch formalism Cosmic Tidal Fields & Cosmic Web Theory Virialization Cooling and Galaxy Formation Halo Model Biasing Nonlinear Structure Formation: N-body models N-body simulation techniques Cosmological Hydro simulation techniques Cosmological Computer Simulations: Cluster Simulations Large Scale Structure simulations |
October 19 (w) | Press-Schechter Formalism & Halo Mass Functions |

8 | October 23 (c) October 26 (c) |
Intergalactic Medium: Lya forest & WHIM Gravitational Lensing, Cosmic Shear Dark Ages, First Stars & Reionization Cosmic Microwave Background Anisotropies CMB anisotropies, temperature perturbations CMB anisotropies, experiments & satellites CMB anisotropies, analysis & maps CMB anisotropies, secondary perturbations CMB anisotropies, polarization |
October 26 (w) | N-body Simulations (computer task) |