Challenger CL600
Air Traffic Control Fully Certified
Human-Machine Interface; Situational Awareness
ATC Issue All Types; Airspace Violation All Types; Conflict Airborne Conflict; Deviation / Discrepancy - Procedural Published Material / Policy
Company Policy; Human Factors; Airspace Structure; Manuals; Procedure
A data block auto acquired on my scope on the northwest side of the sector. It was Aircraft X. The aircraft was climbing above my airspace without a pointout. The adjacent Center sector never called with a pointout and they never called to say sorry so I don't think they even knew they did it. 10 to 20 minutes later the same sector handed off two aircraft at 35000 feet coming together one to two minutes inside our sector's airspace. I didn't get the callsigns for those aircraft but if you watch the Falcon replay you will know the two aircraft I am talking about. One aircraft was descended to 33000 feet. The other aircraft just finished climbing and was picking up speed. I put a 5 mile ring up on the arrival. When they crossed they had 5.1 miles so it would have worked but I think that's too close to hand the next controller. This should probably be stated on another report with more accurate information; but I just wanted to make sure it was at least reported.I would recommend that the controller working this sector pay more attention to their surroundings. Also let the controller know that aircraft typically speed up when they level off unless there is a dramatic change in wind speed.
A Center Controller reported a neigboring Center Sector allowed an aircraft to fly through a corner of their airspace without coordination and then observed the same Sector handoff two aircraft on converging headings at the same altitude.