To position a window, you can use a tool that manipulates X events such as xdotool or wmctrl. For example, with wmctrl, you can use -e:
-e <MVARG>
Resize and move a window that has been specified with a -r
action according to the <MVARG> argument.
<MVARG>
A move and resize argument has the format 'g,x,y,w,h'. All five
components are integers. The first value, g, is the gravity of
the window, with 0 being the most common value (the default
value for the window). Please see the EWMH specification for
other values.
The four remaining values are a standard geometry specification:
x,y is the position of the top left corner of the window, and
w,h is the width and height of the window, with the exception
that the value of -1 in any position is interpreted to mean that
the current geometry value should not be modified.
You can usually ignore gravity, so to place a window at the top left corner of your screen and make it 1200 x 700 pixels, you would run:
wmctrl -r :ACTIVE: -e 1,1,1,1200,700
The -r lets you select a window and :ACTIVE: means the currently focused window.
You can also simplify your script. There is no reason to parse ps, the special variable $! holds the PID of the job most recently placed in the background. In any case, parsing ps will often fail since there might be multiple processes matching Thesis.pdf. There will always be two: the evince and the grep Thesis.pdf you just ran.
So, with all that in mind, you could do:
#! /bin/bash
while true; do
## Open the pdf
evince ~/doc/a.pdf &
## Save the PID of evince
pid="$!"
## Wait for a 1.5 seconds. This is to give the window time to
## appear. Change it to a higher value if your system is slower.
sleep 1.5
## Get the X name of the evince window
name=$(wmctrl -lp | awk -vpid="$pid" '$3==pid{print $1}')
## Position the window
wmctrl -ir "$name" -e 1,1,1,1200,700
## Wait
sleep 5m
## Close it
kill "$pid"
done
Note that I removed the exit 0 since, because of your while true, it will never be reached and there's no point to it. You can play with the positional arguments to figure out where you want to place the window.
Finally, a note on DISPLAY. This variables points to an X display. This is not a screen, it is the active X server. Many users might be running parallel X servers on a single machine, this allows you to choose which one of them a window should be displayed on. It has absolutely nothing to do with how many physical screens are connected, unless each screen is running a separate X session.