\relax 
\newlabel{bispectrum}{{3}{6}}
\newlabel{q}{{4}{7}}
\newlabel{fb:edge}{{5}{8}}
\@writefile{lof}{\contentsline {figure}{\numberline {1}{\ignorespaces \relax \fontsize  {14.4}{18}\selectfont  This figure shows two distinct topological diagrams contributing to tree level four point function. The left figure can be build up from two lower order twopoint diagrams.There are one new diagrams at each order and the hierarchy can not be closed without making any specific assumptions. The amplitude of the snake(left) diagram is denoted as $R_a= \nu _2^2$ and of the star (right) diagram is denoted as $R_b =\nu _3$. Ther will be an explosion of such diagrams at higher order which are mostly of mixed kind - neither snakes nor stars. }}{9}}
\@writefile{lof}{\contentsline {figure}{\numberline {2}{\ignorespaces \relax \fontsize  {14.4}{18}\selectfont  The loop diagrams are explaied in this figure. The tree diagrams are the dominant ones and each loop contributes a factor of $\delimiter "426830A \delta ^{(1)}\delimiter "526930B ^2$. Tree-level and one loop corrections to two-point correlation functions are shown here. All loop corrections can be computed using PT. However such calculations can produce divergent results for certain spectra.}}{9}}
\@writefile{lof}{\contentsline {figure}{\numberline {3}{\ignorespaces \relax \fontsize  {14.4}{18}\selectfont  the tree and loop diagram contributions are depicted here for three point correlation function. The loops start to dominate as variance increases. }}{9}}
\@writefile{lof}{\contentsline {figure}{\numberline {4}{\ignorespaces \relax \fontsize  {14.4}{18}\selectfont  $S_N$ parameters are plotted as a function of spectral index $n$, Only scale free simulations $P(k)=Ak^n$ are being considered. The dots with error bars are results from simulations. Results for $N=3,4,5$ are being shown. Results correspond to the perturbative regime. Error bars represent scatter among various realisations. }}{10}}
\@writefile{lof}{\contentsline {figure}{\numberline {5}{\ignorespaces \relax \fontsize  {14.4}{18}\selectfont  \leavevmode {\color  {blue}$S_N$ parameters are being plotted as a function of variance $\sigma ^2(R)$. Low values fof $\sigma ^2(R)$ correspond to quasilinear regime and higher values of $\sigma ^2(R)$ correspond to highly non-linear regime. The red lines correspond to prediction from HEPT in the highly non-linear regime. Initial PS is that of SCDM. }}}{12}}
\@writefile{lof}{\contentsline {figure}{\numberline {6}{\ignorespaces \relax \fontsize  {14.4}{18}\selectfont  \leavevmode {\color  {blue}One loop and tree level bispectrum are plotted as a function of smoothing scales. The results are for equilateral triangular configurations.}}}{13}}
\@writefile{lof}{\contentsline {figure}{\numberline {7}{\ignorespaces \relax \fontsize  {14.4}{18}\selectfont  \leavevmode {\color  {blue}The left top panel shows the power spectra as a function of scale for a scale free initial conditions with $n=-1.5$. Various symbols depict results from numerical simulations. The reduced bi-spectrum Q for various triangular configuration is presented here. The triangle for computing the bispectrum has $k_1/k_2 = 2$. Q is ploted as a function of $\theta $ the angle between $k_1$ and $k_2$. Solid lines correspond to one-loop results and dashed lines correspond to tree-level diagrams.} }}{14}}
\@writefile{lof}{\contentsline {figure}{\numberline {8}{\ignorespaces \relax \fontsize  {12}{14}\selectfont  \leavevmode {\color  {blue}$S_3$ is plotted as a function of $\Omega _m$. For the solid curve $\Omega _{\Lambda } =0$ and for the dashed curve $\Omega _m + \Omega _{\Lambda } = 1.$. Initial spectrum in both case is assumed to be a power law. Upper curves correspond to $n=-3$ and the bottom one $n=-1$. The results correspond to a top hat smoothing. }}}{15}}
\@writefile{lof}{\contentsline {figure}{\numberline {9}{\ignorespaces \relax \fontsize  {12}{14}\selectfont  \leavevmode {\color  {blue}One loop and tree-level bi-spectrum is plotted for a equilateral configuration for $n=-2$. The dashed lines correspond to the tree level diagrams and the solid lines correspond to one loop corrections. Outputs from various time slices are being plotted from numerical simulations.}}}{16}}
\@writefile{lof}{\contentsline {figure}{\numberline {10}{\ignorespaces \relax \fontsize  {12}{14}\selectfont  \leavevmode {\color  {blue} Analytical probability disribution functions are plotted as a function of smoothing radius $R$, initial power spectral index $n$ for scale free initial conditions. Symbols with error-bars are outputs from numerical simulations.}}}{17}}
\@writefile{lof}{\contentsline {figure}{\numberline {11}{\ignorespaces \leavevmode {\color  {blue}\relax \fontsize  {20.74}{25}\selectfont  Analytical predictions of two-point cumulant correlators are plotted as a function of angular separation $\theta _0$. The results are for computations using the projected catalog APM. These results can be used to check the analytical predictions for $R_a$ and $R_b$.}}}{21}}
\@writefile{lof}{\contentsline {figure}{\numberline {12}{\ignorespaces \leavevmode {\color  {blue}\relax \fontsize  {20.74}{25}\selectfont  Overdense objects reproduces the same underlying hierarchy. However the vertices gets modified}}}{23}}
\@writefile{lof}{\contentsline {figure}{\numberline {13}{\ignorespaces \leavevmode {\color  {blue}\relax \fontsize  {20.74}{25}\selectfont  The new vertices can be reproduced in terms of the old vertices at the generating function level}}}{24}}
\@writefile{lof}{\contentsline {figure}{\numberline {14}{\ignorespaces \leavevmode {\color  {blue}\relax \fontsize  {20.74}{25}\selectfont  The moments of collapsed objects are however a function of the threshold.}}}{25}}