diff --git a/kwant/builder.py b/kwant/builder.py
index 413d8c01b40bd9b1199dc35ba876915f7a9df26b..0d3554dfaea6221838a4271729ab373475b55738 100644
--- a/kwant/builder.py
+++ b/kwant/builder.py
@@ -1945,7 +1945,7 @@ def _transfer_symmetry(syst, builder):
 
         syst._cons_law = operator(vals), operator(vecs)
 
-    elif isinstance(cons_law, collections.Mapping):
+    elif isinstance(cons_law, collections.abc.Mapping):
         vals = {family: (value if family.norbs == 1 else
                          ta.array(np.diag(np.linalg.eigvalsh(value))))
                 for family, value in cons_law.items()}
diff --git a/kwant/linalg/mumps.py b/kwant/linalg/mumps.py
index 465ef1aa359ab3c88adbf5a4a4ccf125c73094dd..c3bec6fddf6b45cf951351abe9b9dc7dd67db28e 100644
--- a/kwant/linalg/mumps.py
+++ b/kwant/linalg/mumps.py
@@ -239,9 +239,9 @@ class MUMPSContext:
         self.mumps_instance.set_assembled_matrix(a.shape[0], row, col, data)
         self.mumps_instance.icntl[7] = orderings[ordering]
         self.mumps_instance.job = 1
-        t1 = time.clock()
+        t1 = time.process_time()
         self.mumps_instance.call()
-        t2 = time.clock()
+        t2 = time.process_time()
         self.factored = False
 
         if self.mumps_instance.infog[1] < 0:
@@ -325,9 +325,9 @@ class MUMPSContext:
 
         done = False
         while not done:
-            t1 = time.clock()
+            t1 = time.process_time()
             self.mumps_instance.call()
-            t2 = time.clock()
+            t2 = time.process_time()
 
             # error -8, -9 (not enough allocated memory) is treated
             # specially, by increasing the memory relaxation parameter
@@ -492,9 +492,9 @@ def schur_complement(a, indices, ordering='auto', ooc=False, pivot_tol=0.01,
     mumps_instance.set_schur(schur_compl, indices)
 
     mumps_instance.job = 4   # job=4 -> 1 and 2 after each other
-    t1 = time.clock()
+    t1 = time.process_time()
     mumps_instance.call()
-    t2 = time.clock()
+    t2 = time.process_time()
 
     if not calc_stats:
         return schur_compl
diff --git a/kwant/operator.pyx b/kwant/operator.pyx
index 2787b28171504499c718df51cc7f0f4b106bbce5..345cfba43ac16a91559f45464658bb0b7bad6860 100644
--- a/kwant/operator.pyx
+++ b/kwant/operator.pyx
@@ -268,7 +268,7 @@ def _normalize_onsite(syst, onsite, check_hermiticity):
             _onsite = _FunctionalOnsite(onsite, syst.sites)
         except AttributeError:
             _onsite = onsite
-    elif isinstance(onsite, collections.Mapping):
+    elif isinstance(onsite, collections.abc.Mapping):
         if not hasattr(syst, 'sites'):
             raise TypeError('Provide `onsite` as a value or a function for '
                             'systems that are not finalized Builders.')
diff --git a/kwant/wraparound.py b/kwant/wraparound.py
index 9b0e41854919d894a05f16f71a59026acc9e1744..aea92af660d592691b6d1d827ccfafeeb3eba058 100644
--- a/kwant/wraparound.py
+++ b/kwant/wraparound.py
@@ -26,7 +26,7 @@ __all__ = ['wraparound', 'plot_2d_bands']
 
 
 def _hashable(obj):
-    return isinstance(obj, collections.Hashable)
+    return isinstance(obj, collections.abc.Hashable)
 
 
 def _memoize(f):